{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "5a885b29",
   "metadata": {},
   "outputs": [],
   "source": [
    "using LinearAlgebra, PyPlot"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7c0b5837",
   "metadata": {},
   "source": [
    "# Real matrices and complex λ\n",
    "\n",
    "A *real* matrix can easily have *complex* eigenvalues, because (as you know from the quadratic formula), real polynomials such as $\\det(A - \\lambda I)$ can have complex roots.\n",
    "\n",
    "Here is a randomly chosen $5 \\times 5$ real matrix, for example:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2eff420e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5×5 Matrix{Int64}:\n",
       "  0  -9   5  -4   7\n",
       " -2   2   0  -5  -9\n",
       "  4   9   7   5   2\n",
       "  5   0  -7   5  -4\n",
       "  2   1  -3  -8   0"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = [   0  -9   5  -4   7\n",
    "       -2   2   0  -5  -9\n",
    "        4   9   7   5   2\n",
    "        5   0  -7   5  -4\n",
    "        2   1  -3  -8   0   ]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "061b5268",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5-element Vector{ComplexF64}:\n",
       " -5.616265073910875 - 8.089914555646233im\n",
       " -5.616265073910875 + 8.089914555646233im\n",
       "  7.593939120984211 + 0.0im\n",
       "  8.819295513418766 - 4.439554583783142im\n",
       "  8.819295513418766 + 4.439554583783142im"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "λ = eigvals(A)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "beb553c4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "reim_axes (generic function with 1 method)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# a little function to plot the complex axes nicely\n",
    "function reim_axes(ax)\n",
    "    ax.axis(\"equal\")\n",
    "\n",
    "    # Move left y-axis and bottim x-axis to centre, passing through (0,0)\n",
    "    ax.spines[\"left\"].set_position(\"center\")\n",
    "    ax.spines[\"bottom\"].set_position(\"center\")\n",
    "\n",
    "    # Eliminate upper and right axes\n",
    "    ax.spines[\"right\"].set_color(\"none\")\n",
    "    ax.spines[\"top\"].set_color(\"none\")\n",
    "\n",
    "    # Show ticks in the left and lower axes only\n",
    "    ax.xaxis.set_ticks_position(\"bottom\")\n",
    "    ax.yaxis.set_ticks_position(\"left\")\n",
    "\n",
    "    xlabel(L\"\\operatorname{Re} \\lambda\")\n",
    "    ax.xaxis.set_label_coords(1.04, 0.52)\n",
    "\n",
    "    ylabel(L\"\\operatorname{Im} \\lambda\", rotation=0)\n",
    "    ax.yaxis.set_label_coords(0.5, 1.02)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "e339e76b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "┌ Warning: `vendor()` is deprecated, use `BLAS.get_config()` and inspect the output instead\n",
      "│   caller = npyinitialize() at numpy.jl:67\n",
      "└ @ PyCall /Users/stevenj/.julia/packages/PyCall/L0fLP/src/numpy.jl:67\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x15f21df70>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(real.(λ), imag.(λ), \"bo\", label=L\"$\\lambda$ of real $A$\")\n",
    "\n",
    "reim_axes(gca())\n",
    "legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5351fca1",
   "metadata": {},
   "source": [
    "The **complex eigenvalues** of a real matrix come in **complex-conjugate pairs**:\n",
    "\n",
    "The **eigenvectors** also come in conjugate pairs:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "0d2a4c15",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5×2 Matrix{ComplexF64}:\n",
       "  0.111042-0.466655im   0.111042+0.466655im\n",
       "  0.486281-0.0im        0.486281+0.0im\n",
       " -0.363772+0.179752im  -0.363772-0.179752im\n",
       "  0.115521+0.375451im   0.115521-0.375451im\n",
       "  0.322662+0.332225im   0.322662-0.332225im"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X = eigvecs(A)\n",
    "X[:,1:2] # the first two eigenvectors, corresponding to λ ≈ -5.6 ± 8.1i"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4bbd8354",
   "metadata": {},
   "source": [
    "This fact is easy to derive.   If $A$ is a real matrix (so $\\bar{A}=A$) and we have an eigensolution, we can just take the complex-conjugate of both sides:\n",
    "\n",
    "$$\n",
    "Ax = \\lambda x \\implies \\overline{Ax} = \\boxed{A \\bar{x}} = \\overline{\\lambda x} = \\boxed{\\bar{\\lambda} \\bar{x}}\n",
    "$$\n",
    "\n",
    "so the **complex-conjugate of any eigensolution is also an eigensolution** for any **real matrix**."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "55730ad3",
   "metadata": {},
   "source": [
    "# Complex matrices and complex λ\n",
    "\n",
    "Of course, complex matrices will have complex λ as well, but they have **no particular symmetry** in general.\n",
    "\n",
    "For example, here is a randomly chosen $5\\times 5$ complex matrix $B$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "7c85e751",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5×5 Matrix{Complex{Int64}}:\n",
       " -4+6im   4+3im   2+5im   6+9im   0+0im\n",
       " -3+4im   4+3im  -6-3im   5+0im   9+5im\n",
       "  8+3im  -3-6im   6-3im  -9-5im   4+8im\n",
       "  9+9im   9+0im   2-1im   5+2im   7+9im\n",
       " -4-9im   0+0im   6+4im  -2-6im  -4-5im"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "B = [ -4+6im   4+3im   2+5im   6+9im   0+0im\n",
    "      -3+4im   4+3im  -6-3im   5+0im   9+5im\n",
    "       8+3im  -3-6im   6-3im  -9-5im   4+8im\n",
    "       9+9im   9+0im   2-1im   5+2im   7+9im\n",
    "      -4-9im   0+0im   6+4im  -2-6im  -4-5im ]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "9bf6a2d4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x15fb16520>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "λ_B = eigvals(B)\n",
    "\n",
    "plot(real.(λ_B), imag.(λ_B), \"ro\", label=L\"$\\lambda$ of complex $B$\")\n",
    "\n",
    "reim_axes(gca())\n",
    "legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8ec80e03",
   "metadata": {},
   "source": [
    "## Complex eigenvalues and matrix powers\n",
    "\n",
    "A complex eigenvalue $\\lambda_k = |\\lambda_k| e^{i\\phi_k}$ in polar form.  When you multiply a vector $x$ by $A^n$, it multiplies each eigenvector component by\n",
    "$$\n",
    "\\lambda_k^n = |\\lambda_k|^n e^{in\\phi_k } \\, .\n",
    "$$\n",
    "So the **magnitude** $|\\lambda_k|$ determines the exponential growth/decay of each eigenvector component, whereas any phase $\\phi_k \\ne 0$ causes a *phase rotation*, equivalent to an an *oscillation* with $n$.\n",
    "\n",
    "Let's take an arbitrary real vector $x$, for example:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "72ed14f5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5-element Vector{Int64}:\n",
       " 1\n",
       " 2\n",
       " 3\n",
       " 4\n",
       " 5"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = [1,2,3,4,5]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6aa1df89",
   "metadata": {},
   "source": [
    "If we expand it in the basis of the eigenvectors ($x = Xc \\implies c = X^{-1} x$):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "60276d13",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5-element Vector{ComplexF64}:\n",
       "   3.524941723422433 - 4.592506349393967im\n",
       "  3.5249417234224336 + 4.592506349393967im\n",
       "    7.01850888051289 + 5.742185317061215e-17im\n",
       " -0.7740338338111896 - 0.34390253168210033im\n",
       "  -0.774033833811189 + 0.3439025316820996im"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c = X \\ x"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a86b60c1",
   "metadata": {},
   "source": [
    "we find that the coefficients come in **complex-conjugate pairs** as well.   This way, the complex-conjugate eigenvectors in the basis add up in conjugate pairs, to give a real $x$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2e471b3c",
   "metadata": {},
   "source": [
    "Now, let's plot the components of $A^n x$ as a function of $n$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "fbc1029d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkYAAAHKCAYAAADmR4RSAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8/fFQqAAAACXBIWXMAAA9hAAAPYQGoP6dpAABjVElEQVR4nO3dd3iUVd7/8ffMJJn0QHoCAULoPaGJUi2IStu1rK5d19+ubVVcV3FdxX1U1LWwzbourh1Zl+ZaQKkqSg29dwNJCCmTOsnM3L8/koyEBEiZzCTk87quucjcbb73ZH3yec459zkmwzAMRERERASzrwsQERERaSkUjERERESqKBiJiIiIVFEwEhEREamiYCQiIiJSRcFIREREpIqCkYiIiEgVBSMRERGRKgpGIiIiIlUUjERERESqKBg1wcqVK5k0aRKJiYmYTCbmz5/foPPLysq45ZZb6N+/P35+fkydOrXO41asWMHgwYMJDAyka9euvPbaa00vXkRERGpRMGqC4uJiBg4cyN///vdGne90OgkKCuK3v/0tF198cZ3HHDhwgMsvv5xRo0axceNGHn30UX7729/yySefNKV0ERERqYNJi8h6hslkYt68eTVafcrLy3nsscd4//33yc/Pp1+/fjz33HOMHTu21vm33HIL+fn5tVqdHn74YRYuXMiOHTvc237zm9+wadMmVq9e3Ux3IyIi0japxagZ3XrrrXz77bd89NFHbN68mauvvpoJEyawZ8+eel9j9erVjB8/vsa2Sy+9lHXr1lFRUeHpkkVERNo0BaNmsm/fPj788EPmzp3LqFGjSElJ4Xe/+x0jR45k9uzZ9b5OZmYmcXFxNbbFxcXhcDjIycnxdNkiIiJtmp+vCzhXbdiwAcMw6NGjR43tdrudqKioBl3LZDLVeF/d+3nqdhEREWkaBaNm4nK5sFgsrF+/HovFUmNfaGhova8THx9PZmZmjW3Z2dn4+fk1OGCJiIjImSkYNZPU1FScTifZ2dmMGjWq0dcZMWIEixYtqrFt8eLFDBkyBH9//6aWKSIiIidRMGqCoqIi9u7d635/4MAB0tPTiYyMpEePHlx//fXcdNNNvPjii6SmppKTk8PSpUvp378/l19+OQDbt2+nvLyc3NxcCgsLSU9PB2DQoEFA5RNof//735k2bRp33HEHq1ev5q233uLDDz/09u2KiIic8/S4fhMsX76ccePG1dp+88038/bbb1NRUcFTTz3FO++8Q0ZGBlFRUYwYMYInn3yS/v37A9ClSxcOHTpU6xon/1pWrFjBAw88wLZt20hMTOThhx/mN7/5TfPdmIiISBulYCQiIiJSRY/ri4iIiFRRMBIRERGposHXDeRyuTh69ChhYWGaR0hERKSVMAyDwsJCEhMTMZtP3y6kYNRAR48eJSkpyddliIiISCMcOXKEjh07nna/glEDhYWFAZVfbHh4uI+rERERkfqw2WwkJSW5/46fjoJRA1V3n4WHhysYiYiItDJnGwajwdciIiIiVRSMRERERKooGImIiIhUUTASERERqaJgJCIiIlKlTQWjV199lQEDBrifKBsxYgSff/65r8sSERGRFqJNBaOOHTvy7LPPsm7dOtatW8eFF17IlClT2LZtm69LExERkRbAZBiG4esifCkyMpI///nP3H777fU63mazERERQUFBgeYxEhERaSXq+/e7zU7w6HQ6mTt3LsXFxYwYMcLX5YiIiEgL0OaC0ZYtWxgxYgRlZWWEhoYyb948+vTpc9rj7XY7drvd/d5ms3mjTBERkTbF6TJYcyCX7MIyYsMCGZYcicXs/cXa21ww6tmzJ+np6eTn5/PJJ59w8803s2LFitOGo5kzZ/Lkk096uUoREZG244utx3hy0XaOFZS5tyVEBPLEpD5M6Jfg1Vra/Bijiy++mJSUFF5//fU699fVYpSUlKQxRiIiIh7wxdZj3PneBk4NI9VtRa/ekOaRcKQxRvVkGEaN4HMqq9WK1Wr1YkUiIiJtg9Nl8OSi7bVCEYBBZTh6ctF2LukT77VutTYVjB599FEuu+wykpKSKCws5KOPPmL58uV88cUXvi5NRESkzVlzILdG99mpDOBYQRlrDuQyIiXKKzW1qWCUlZXFjTfeyLFjx4iIiGDAgAF88cUXXHLJJb4uTUREpM3JLjx9KGrMcZ7QpoLRW2+95esSREREpEpsWKBHj/OENjXztYiIiLQcw5IjSYgI5HSjh0xUPp02LDnSazUpGImIiIhPWMwmnphU93Q51WHpiUl9vDqfkYKRiIiI+MyEfgncPS6l1vb4iECPParfEG1qjJGIiIi0PEernky7pHccEwcmaOZrERERaZvKKpx8uTUTgF+P6cqQLt4bT1QXdaWJiIiIz3y9I5vicicd2gWR1qm9r8tRMBIRERHfWZCeAcCkgYmYfdB1dioFIxEREfGJgtIKlu86DsCUQYk+rqaSgpGIiIj4xJdbMyl3uugRF0qv+DBflwMoGImIiIiPLNhU2Y02ZVAHTCbfd6OBgpGIiIj4QLatjO/2nQBg0oCW0Y0GCkYiIiLiA59uPoZhQGqndnSKCvZ1OW4KRiIiIuJ1CzYdBWDKwJbTWgQKRiIiIuJlB3OK2XQkH7MJrmhB3WigYCQiIiJetrCqteiCbtHEhFl9XE1NCkYiIiLiNYZhuCd1nNzCutFAwUhERES8aPsxG/uOFxPgZ+bSfvG+LqcWBSMRERHxmoXpld1oF/WKJTzQ38fV1KZgJCIiIl7hchnu8UUtsRsNFIxERETES9YdyuNYQRlhVj/G9Yr1dTl1UjASERERr6gedH1pv3gC/S0+rqZuCkYiIiLS7CqcLj7bcgyAKYNaZjcaKBiJiIiIF3yzJ4e8kgqiQwMY0TXK1+WcloKRiIiINLvqbrSJAxLxs7Tc+NFyKxMREZFzQkm5g8XbswCY3IK70UDBSERERJrZVzuyKSl3khQZRGpSO1+Xc0YKRiIiItKsqid1nDwwEZPJ5ONqzkzBSERERJpNfkk5K3ZnAzBlUAcfV3N2CkYiIiLSbD7fmkmF06BXfBg94sJ8Xc5ZKRiJiIhIs6l+Gq01tBaBgpGIiIg0k8yCMn44kAvApIEJPq6mfhSMREREpFl8uvkohgFDOrenY/tgX5dTLwpGIiIi0iwWVD2N1pKXADlVmwpGM2fOZOjQoYSFhREbG8vUqVPZtWuXr8sSERE55+w/XsSWjAIsZhOX928d3WjQxoLRihUruPvuu/n+++9ZsmQJDoeD8ePHU1xc7OvSREREzikLN1W2Fo3sFk1UqNXH1dSfn68L8KYvvviixvvZs2cTGxvL+vXrGT16tI+qEhERObcYhuGe1LE1daNBG2sxOlVBQQEAkZGRPq5ERETk3LE1w8b+nGKsfmbG9433dTkN0qZajE5mGAbTpk1j5MiR9OvX77TH2e127Ha7+73NZvNGeSIiIq1W9dxFF/eJI9TauqJGm20xuueee9i8eTMffvjhGY+bOXMmERER7ldSUpKXKhQREWl9nC6DRZt/WhuttWmTwejee+9l4cKFLFu2jI4dO57x2OnTp1NQUOB+HTlyxEtVioiItD5rDuSSZbMTFujH2J4xvi6nwVpX+1YTGYbBvffey7x581i+fDnJyclnPcdqtWK1tp7R9CIiIr60cFNlN9rl/RKw+ll8XE3DtalgdPfdd/PBBx+wYMECwsLCyMzMBCAiIoKgoCAfVyciItK6lTtcfLal8m9ra3sarVqb6kp79dVXKSgoYOzYsSQkJLhfc+bM8XVpIiIird7K3ccpKK0gNszK8K5Rvi6nUdpUi5FhGL4uQURE5Jy1oGpSx4kDErGYTT6upnHaVIuRiIiINI9iu4Ml21t3NxooGImIiIgHLNmeRVmFiy5RwQzoGOHrchqtTXWliYiISPOoXhtt8sBETKaGd6M5XU42ZG/geMlxYoJjSItNw2L2/lNtCkYiIiLSJLnF5azcfRyAyY3oRvvq0Fc8u+ZZskqy3NviguN4ZNgjXNz5Yo/VWR/qShMREZEm+WzLMRwug76J4XSLDWvQuV8d+oppy6fVCEUA2SXZTFs+ja8OfeXJUs9KwUhERESaZGF6ZTdaQwddO11Onl3zLAa1nxqv3vbcmudwupxNL7KeFIxERESk0Y7ml7LmYC5Q+Zh+Q2zI3lCrpehkBgaZJZlsyN7QpBobQsFIREREGm1R1aDrYcmRJLZr2CoSx0uOe/Q4T1AwEhERkUZb0MhuNICY4PotMlvf4zxBwUhEREQaZW92IduP2fAzm7i8X0KDz0+LTSMuOO60+02YiA+OJy02rSllNoiCkYiIiDRK9aDr0T1iaB8S0ODzLWYLk1Mm17nPROVcSA8Pe9ir8xkpGImIiEiDGYbhXhutsUuAHLYd5qOdHwEQ5FdzfFJccBwvjX3J6/MYaYJHERERabBNPxZw6EQJQf4WLu59+u6w0ympKOG+ZfdRWFFIamwqb1z8BltObNHM1yIiItL6VHejXdInjhBrw+KEYRg88d0T7M3fS3RQNC+OeZFA/0CGxg9tjlIbRF1pIiIi0iBOl8GizT+tjdZQ72x/hy8OfoGfyY+Xxr7k1afOzkbBSERERBrk+/0nOF5oJyLIn9E9GhZqfjj2Ay+tfwmA3w/7Pamxqc1RYqMpGImIiEiDLEjPAODy/gkE+NU/SmQWZ/LQiodwGS4mp0zm2p7XNleJjaZgJCIiIvVmdzj5fGsm0LCn0exOO/cvu588ex69I3vzx/P+iMlkaq4yG03BSEREROpt+a7jFJY5iA8PZFiXyHqdYxgGT3//NNtObKOdtR2zxs0i0C+wmSttHAUjERERqbfqp9EmDUzAbK5fi8/c3XOZt3ceZpOZ50c/T2Jo4+Y98gYFIxEREamXwrIKvtqRBcCUQR3qdc6m45uYuWYmAPel3ceIxBHNVp8nKBiJiIhIvSzZnoXd4aJrTAh9E8PPenxOaQ7Tlk3D4XJwSedLuLXvrV6osmkUjERERKReFqT/NHfR2QZOV7gqeHD5g2SXZpMSkcL/XfB/LXKw9akUjEREROSscorsfLM3B6jfpI4vrXuJDdkbCPUP5eVxLxPiH9LcJXqEgpGIiIic1WdbjuF0GQzoGEHXmNAzHrto3yLe2/EeAM+MfIbkiGRvlOgRCkYiIiJyVgvT67cEyM7cnfxp9Z8A+PWAXzOu07hmr82TFIxERETkjI7klrDuUB4mE0w6QzAqsBdw/7L7KXOWMbLDSO4ceKcXq/QMBSMRERE5o+oFY89LjiIuvO6JGZ0uJw+vfJiMogw6hnbk2VHPYjFbvFmmRygYiYiIyBlVd6OdaQmQf6T/g2+PfkugJZBZ42YRYY3wVnkepWAkIiIip7Urs5CdmYX4W0xc1i+hzmO+PvQ1b255E4Anz3+SnpE9vVmiRykYiYiIyGkt3JQBwJgesUQE+9fav79gP3/49g8A3NjnRi7verlX6/M0BSMRERGpk2EY7kkd6+pGKyov4v5l91NcUcyQuCE8MPgBb5focQpGIiIiUqcNh/P5Ma+U4AALF/eOq7HPMAwe+/YxDhQcIDY4lhfGvIC/uXaLUmvT5oLRypUrmTRpEomJldOZz58/39cliYiItEiLNlW2Fl3aN56ggJpPmL219S2+Pvw1/mZ/Zo2dRVRQlC9K9Lg2F4yKi4sZOHAgf//7331dioiISIvlcLr4dHPdkzp+l/Edf93wVwD+MPwP9I/p7/X6moufrwvwtssuu4zLLrvM12WIiIi0aN/tO0FOUTntg/0Z2T3avf3Hwh95aOVDGBhc2f1KruxxpQ+r9Lw2F4waym63Y7fb3e9tNpsPqxEREfGO6kHXVwxIwN9S2cFU6ijlgeUPYCu30T+6P48Of9SXJTaLNteV1lAzZ84kIiLC/UpKSvJ1SSIiIs2qrMLJl9syAZgyqANQOdj6T6v/xM7cnUQGRvLS2JcIsAT4ssxmoWB0FtOnT6egoMD9OnLkiK9LEhERaVbLdmZTZHeQGBHI4E7tAfhg5wd8uv9TLCYLL4x5gfiQeB9X2TzUlXYWVqsVq9Xq6zJERES8probbdKgRMxmE+uz1vPC2hcAeHDIgwyNH+rL8pqVWoxERETEzVZWwdJd2QBMGdiBrOIsHlz+IA7DweXJl3ND7xt8XGHzanMtRkVFRezdu9f9/sCBA6SnpxMZGUmnTp18WJmIiIjvfbk1k3KHi+6xoaTEWrlt8Z2cKDtBj/Y9eGLEE5hMJl+X2KzaXDBat24d48aNc7+fNm0aADfffDNvv/22j6oSERFpGRZu+mnuoufXPs/m45sJCwhj1thZBPsH+7i65tfmgtHYsWMxDMPXZYiIiLQ42YVlfLs3B4DAyPV8vPljTJh4btRzJIW3jaey21wwEhERkbp9tvkYLgN6dS7gta0vAnD3oLsZ1XGUjyvzHg2+FhEREQAWbDqKyVKELfxNyl3ljE0ayx0D7vB1WV6lYCQiIiIcPlHCxsMnCOrwIYWOHLqEd+GZkc9gNrWtqNC27lZERETqtHBTBtbYL7GE7CPYL5hZ42YRFhDm67K8TsFIRESkjTMMg4+2f0pA1EoAnhr5FCntUnxclW8oGImIiLRxi/dsIj/kPQBu6HULl3S+xMcV+Y6CkYiISBtmK7fx5JqHMJnLiaAPDw69z9cl+ZSCkYiISBvlMlxMXzmdQmcmrvJ23DfgSfzMbXsmHwUjERGRNur1Ta+zMmMlhssPU/YtTOrX3dcl+ZyCkYiISBu04sgKXtn0CgBlmT/j0u5DCPS3+Lgq31MwEhERaWMO2Q4xfdV0AMyFF+AoGMzkQYk+rqplUDASERFpQ0oqSrh/2f0UVhTSNawfBT9eRlRIABekRPm6tBZBwUhERKSNMAyDx797nL35e4kOiqZj+a8BPyYOSMDPokgACkYiIiJtxjvb3+HLg1/iZ/Jj5gV/Zvn2MgAmD+rg48pajrb9TJ6IiEgrZzidlKxbj+P4cfxiYggeMhiTpfYg6h+O/cBL618C4OFhD5NzIpHi8iw6tg8irVM7L1fdcikYiYiItFK2xYvJemYmjsxM9za/+HjiHp1O+Pjx7m3Hio7x0IqHcBkuJqdM5hc9f8H/e3c9AJMHJmIymbxee0ulrjQREZFWyLZ4MRn33V8jFAE4srLIuO9+bIsXA2B32nlg+QPk2fPoHdmbP573R2ylDlbsOg7AFHWj1aBgJCIi0soYTidZz8wEw6hjZ+W2rGdm4nI4eOr7p9h2YhvtrO2YNW4WgX6BfLHtGOVOF73iw+gZH+bl6ls2daWJiIi0MiXr1rtbigxM5Lfrhj0gHGu5jXb5ezEZBo7MTD6f/yLzi+djNpl5fvTzJIZWzlW0IP0oAJMGau6iUykYiYiItDKOrCwAsqMHsqfb1dgD27v3Wcvy6L53LrE5m/jfuvehN9yXdh8jEkcAkGUrY/X+E0Dl+CKpScFIRESkFTAMA/uOHRQsXET+vHlkRw9ka987ah1nt7Zja9876LftTU4Eb+GSzpdya99b3fs/3XwMw4DBnduTFBnszVtoFRSMREREWrCKjAwKPv0fBYsWUr53H1DZfbbnvKsrDzj1iTKTCQyDXT2uorxvGf93wf/VeOpsYXoGAFO0BEidFIxERERaGGdBAbYvv8S2cBEl69a5t5sCAgi98EJKz5uEffkZLmAyUREQyWPJMwnxD3FvPpBTzKYfC7CYTVzeP6H5bqAVUzASERFpAVzl5RQtX45t0SKKlq/AqKio3GEyETx8OBGTJhJ6ySUUFJnZufgwkHnG6wGEOdvXeL+watD1Bd2iiQ61evoWzgkKRiIiIj5iuFyUrl9PwcJF2L78EpfN5t5n7dmTiMmT4PxLyDrhx65defz41GZKbeX1vn5I+E/hxzAMFmyq6kbToOvTUjASERHxMvuePRQs+pSCTxfhOHrMvd0vLo6Ay6ZS1HsMBwsC+XFXHoVr99Y418/fTFxKOAf2ZOLvtGKijlmrDYOSQBuxKT/NUbTtqI39x4ux+pkZ3zeu2e6ttVMwEhER8YKKrGxs//sfBYsWYd+xw73dGRFD2aifU9Axjaz8APIOlsDBPPd+s9lEXNdwOvRsT1Kv9sR1iWDZ0aUs++R9xu++DQOjZjiqmuBxXfxc0nM6MjR+KAALN1V2o13cO46wQH8v3HHrpGAkIiLSTJxFxRQuWYJt0UKKV38PhoHTHEB+TH+K+o4jr113cgvMUATsdAAOMEFMUhgde7anQ6/2JHQNJ6sik/XZ6/lf1gY2bt3IQdtBiILFPf7FBQd/Tmj5T2OJzM5i+uz8gEP+WzheUrnsh8tlsGiTJnWsDwUjERERDzIqKij69ltsCxdRuHQpTnsFBeHJ5HW+DFvHweT7x+Eyqlp48iv/aR8fTMee7enYK5K4bmEcqTjIhqw1/Dd7Axu2beB46fE6P+tA1GYORm4hwZZC6o+XkGTrRZ7/D8TmbGLMVogJjgFg7cFcjhWUERbox9ieMV74FlovBSMREZEmMgyDss2bKVi4iILPPiffEUpeux7k9bidgnbdcJoDTjoYwiID6dirPR16tie2WwgHHHvYkL2KD7PWs2nHJgorCmtc38/sR7+ofqTFpTE4bjD9ovpxzafXkF2SjWEyOBqxl9Dy9iTZemEPSsZhhq6Z0Dk/FOJhQVVr0WX94gn0t3jzq2l1FIxERKRNcroM1hzIJbuwjNiwQIYlR2Ix1zGQ+QzKDx4kf+GnHP1yNdllYeS160F+n+k4/GvOKB0U5l/ZNdazPe1TAtjr3MHG44v5d9YGtn62lXJXzSfNQvxDGBQziLS4NNJi0+gX3Y9Av8Aaxzwy7BGmLZ+GCRMGBpmhBwCIKu3E+m7+DN9dQeGCRfh168lnWyoHeE8Z1KGhX1Obo2AkIiJtzhdbj/HUgi30zd9HtKuCHLM/D7VL4bEp/ZnQ78wTHzpyczn638UcXLGD7KJg8tr3pDzp9hrHBARZ6NCjMgiFdIY95m2sz/6GN7M3sPur3bgMV43jIwMjGRw3mLTYNNLi0ujRvgd+5jP/ib6488W8NPYlnl3zLFklWdgCcyj1KyTIEUbC5XfB7r9QsGgR2yZeT35JBTFhVs7rGtW4L6wNUTBqIUqLi/nfP/5GaU4RQdGhXHH3vQSFhJz9xBZG99Gy6D5aFt1Hy/DF1mMsffs/3FqSQJmrJwCJwLDiXJa+/R+45apa4agws4B9C1ZzZMOPZNsjKAuMhZBYqLpti9kgoVsEHftE45dkZ5/fdr47voQN2Rs4cuRIrRqSwpJIi63sFkuLS6NTWKcay3bU18WdL2Zc0jg2ZG/geMlx8vJCyd/lILbLpVjav4MzJ4eNn3wJxDFxQEKDW8TaIpNhVD3X14a88sor/PnPf+bYsWP07duXWbNmMWrUqHqda7PZiIiIoKCggPDwcI/U8/4fHqf42EAqAn56qsC/PI+QhE1c//SfPPIZ3qD7aFl0Hy2L7qNlcLoMnvrja0Tn9KjcYKr9mHtO9G4emn47x3bncXDFTjL2FFDoCq1xHZPhJCrcQVJaR4zuTvYHbGVj7gY2ZG3gRNmJmsdiomdkT3drUFpsmntQtKdt+PIQq+ftIyU1hkE5i8h7912+7TiIp4bcwPy7L2BQUrtm+dzWoL5/v9tcMJozZw433ngjr7zyChdccAGvv/46//znP9m+fTudOnU66/meDkbv/+Fx8nPGVL6p4z/QdtErWsX/sdF9tCy6j5ZF99FwDqeL0gonpRVOyspdlFQ4KC2vel/hpKTcSWl55c+lFU5Ky12UlJfjLCvBUV6Cs7wMV3kJRnkJropSqCjD5CjDWVpIr8z+lNK+9uKrVfdiwolhskCNuYFchNuziEswYx4Sxt7OR0nP20D68XSKK4prXCLAHEC/6H7uEDQodhBhAWF4w9E9+cx7cQPBEQFce1N7Dl55FeVmPx755bN89ofLG9Uqda6o79/vNteV9tJLL3H77bfzq1/9CoBZs2bx5Zdf8uqrrzJz5kyv1lJaXEzxsYHgz2lXRy4+NoDS4uIW3Uyt+2hZdB8ti6fuo/r/hzUwav5M1c8uA1fVdhcGLpfL/XP18S7jp2MMDAzXT1dwGZX/GoYBhlF5jepjDSgtKazXfXyxYT8Ov0BK7Q7Ky+2UlxVTYS/BYS/FVVb1b0UZlJdhlJdBhR0q7Jic5ZidFVicFZidFfgZTqyGkwCc+OMkAAM/XPjjwg8XEYaLKAz8MLAAFsPAjAkXFlyYcRl+GJhxGpVHuLDgMizYHDEcMEWe/hdmMmFU/WkMLs4ksmgPwXE2jqRVsLhDDtvydlJRVAHbfjol1D+UQbGD3GOE+kb3xWrxzTpksZ3DMJtNlBSUUxHXleMxScQcP8Jt5XvbdChqiDbVYlReXk5wcDBz587lZz/7mXv7fffdR3p6OitWrKh1jt1ux263u9/bbDaSkpI80mL0n+efJWv/sLMeZ3KWY6Ll/poMTBiWgLMep/vwjrZ3HxWNug+jWf5I1L6mgQnMZ388uvI+qgfkGpjc/6f5pH8No+oTTt5W/SmnHF/j/FPOM4ya1zhlX61rYeAyWakIjD3rfZgrbJX3YbJgmCwYJjNQ9a+p9Twmnpj1Aet6rOKzHn44/Mw19sUYFtICIkmLSGFw3BC6dRiBJaobBASf5mreNXfmWrIPFXL+9T15/69/4fYtizD17UevT+b6ujSfanEtRosWLWLSpEne+rg65eTk4HQ6iYuruUZMXFwcmZl1r1I8c+ZMnnzyyWappzSnqF7HGZaAFvznq/50Hy3LuXMf/rqPFsTl3/D/h9HkcmIyql8u97/m6veuM+yrPs916vaT9lWf43JSZm1HVvzws9b0TfJxFvepDObx5TDEbmd4WRGDy+x0dDgwcQBYD3z800lhCRCZAlFdIbJr5c+RVT97MTTFd40g+1Ah6zdk8nWHVG7Z+j8s27Zi338Aa9dkr9XRWnktGN10002sXbuWbt26eesjT+vU5kTDME7bxDh9+nSmTZvmfl/dYuQJQdGhnLSQ8mmFh31Nt9FDPPKZzWHvynXYCi8663G6D++o732EhS2l+5iWex97VqyjsPDCsx4XHv413cYM/WnDqf8pn/Lfdp0LblYz6ji/LjWOMeoeq1Jl99ffU2i7+KyXDA/7ml6j0jBVX95wgatyhhqTQVULUlULkctV+ZEufmpZcrkqz63sD8Oo6loyDAOT4QLDRHXrUeV5VM5+4wJwYTJM7vNMmCo/36j6QlwG23YcJcs55qz3EWlZQudBSThNLpy4cBgGTpODCqMcp6sch8tOhascp9NOhVFOhcOOw6jA4ax+lVPhrMDhcuBwluNwOnC4KnA6HDgNR+XXXX2fgLnqlk7eZjrpvYma+2PzILisB3Zru9OOMbLa84gdEMHNKY+z62A0Kw+Vscfh4jOKSDZlMjamkHExhfQKyMFqOwAn9kFZPhQeq3wd+qb2datDU2QyRKV4NjS5nHDoOyjKgtA44pO7sXkZ5By0kRcYTn7fNKK2rqNgwQJiH7i/aZ/VBnitK61nz54EBATwww8/EBxc9/8I7HY7t9xyCx9++GGz1NCYrrRTeXLwdWlxMe/e+wUV/u1O+x+of0UeN/7tshY/hkL30XLoPloW3YfnOF1O7E67+1XmKKPMWUaZo+ys2+xOO6WOUvbn7uXnL5dxqOsdlRetYxB55/1vYn7lBi7vPhGAwrIKvtiayfz0DL7bd8LdS+lnNjGmRwxTUjtwSZcAggoPQu7+yqCUux9yq/4tzeOMaoWmk1qbzhaati+ELx4G21H3psKgPrxz4GlcGPw1oowlQx2UPvYIfgkJdPv6K0xm8xkueO5qcV1pn3zyCeeddx633norc+bMqbX/+PHjTJ48mTVr1jRbMAoICGDw4MEsWbKkRjBasmQJU6ZMaZbPPJOgkBBCEjZVPuVhGHX+BxqSsJmgkKu8XltD6D5aFt1Hy6L78ByL2UKwOZhg/8a3sKzNXMtrQ2/hppVvsqfb1dgDf5p2wGrPo/ve//DO6C38JuynIRdhgf5cPSSJq4ckkWUrY9Gmo8zbmMG2oza+3pnN1zuzCQmwcGm/eKYOGsf5o6/Cz3JS+CjJhdwDlUGprtDUoJamrj+93/s1fHwTnNIJG1a6gxDzCYpdUYyNiaDTpKHsef4ZHMeOUfLDD4SMGNHo768t8Org6/fff58bb7yR5557joceesi9ffv27UycOJHDhw/z4osvct999zVbDdWP67/22muMGDGCN954gzfffJNt27bRuXPns57vvXmMcglJ2NwqHuGtpvtoWXQfLYvuo2Vwupxc+smldNmYyU1LXPhZumEPCMdabsPh3Ms7l5g5lJrAF1d+geUsg+b3Zhcyf+NR5qdn8GNeqXt7TJiVSQMS+VlqB/p1CD/z02AnhyZ3a1M9W5pMZjhlBu1qX+T/jn1lFxCY1o7b/18ax2bMIP+jOYRPnkSH558/83XPUS12HqO7776bN998ky+//JJx48axZMkSrrnmGpxOJx9++CFXXHFFs9fwyiuv8Pzzz3Ps2DH69evHyy+/zOjRo+t1bnMEI2j9M8lW0320LLqPlkX30TJ8deiryjXGXAa9jrhoXwR5obAzyYxhNvHS2Je4uPPZx4VVMwyD9YfymJ+ewaebj5FfUuHe1zUmhKmDOjB1UAc6RTWwpavO0FTV2nSW0LSpeCLfFN5Oh2SY+vCFlKanc/Da6zAFBdF91Sosoa3n9+UpPg9G69ato3///litNedyqKioYOTIkRw4cID77ruPGTNm0KFDBxYtWkT//v2boxSPaq5gJCIi3vPVoa/ca4xViw+O5+FhDzcoFJ2q3OFi5e7jzEvP4KvtWdgdP7XopHVqx9TUDlzRP4Go0CbOc7Tubfj09L0rmeXd+ST3eQIDXdz2cuXDGPsvu5zygwdJePpp2l3586Z9fivk82BkNpvx8/Ojd+/epKamkpaWRlpaGoMGDSI/P5/U1FRyc3MZOnQoCxYsqPUIfUulYCQicm5wupzuNcZigmNIi007a/dZQxSWVfDltizmb8zgu305uE4atD26RwxTBiUyvk88QQGN+MwDq+DfE0+722n48WbW+zgJ4Ponz6NdXDA5r73O8VmzCB46lM7vvtPIu2q9fB6MHn74YdLT00lPT+f48eOVH2YyYTKZSElJwTAM8vLy+Ne//sWIESOIjo5ujjI8TsFIREQaKttWxsJNleORtmb8NE9LcICFCX3jmZLagQtSomoO2j4TlxNm9QPbMU4dfA3gMmBewZ/JLOvGhTf1pvf5CVQcO8beCy8CwyDlqyUEdOzoobtrHXwejE6WkZHBxo0ba7wOHTpUWUDVoLSEhAQGDhxIamoqTz31VHOX1GgKRiIi0hR7s4tYkJ7B/PQMjuT+NGg7OtTKpIEJTB3UgQEdI86+hMf2hVVPpcHJ4ah6+qnViXPYuCGAPqMSGXd9LwAO33Ybxd+tJvqee4i5524P31nL1qKCUV3y8/NrhaVdu3bhcrlwOp2+KKleFIxERMQTDMNgw+E85m88yqebj5J38qDt6BCmDOrA1NREOkedYaB0HfMYlRn+7LrgJcJiL+Pz17YQmRjCdY9XzvZdsHAhR3//MP5JSaQs/rJNrZ/W4oNRXcrKyti8eTPDhp19/TBfUTASERFPq3BWDtqen36UJdszKav4adB2aqd2TB3UgYkD6h607XQ42PnDl5zY+Q2jj7xCCQH4TT+Cw25m9u+/ARP86qXRWIP8cJWUsGfkKFwlJXR+712Ch7Tc2e89rb5/v1vU9JeBgYEtOhSJiIg0B3+LmYt6x/G361JZ99glvHj1QEZ1j8Zsgo2H83li4TaGPfM1t85ew4L0DErKHQB8sfUYI/+8gisWwc17zifHCCeYcjZ+9yXB4QGERweCAVkHCgAwBwcTNmECAPnz5/vqdls0r818LSIiImcXavXjysEduXJwR7ILy1i06RgL0jPY/GMBy3YdZ9mu4wQHWOjXIYI1B3Ld5xmY+cbVj6mW71j79X/JixlGfEoEtpwyMvcV0KlPFAARU6dQ8N//Uvj5F7j+8AfMQUG+utUWyaPBKCcnh4yMDI4fP86JEycICgoiJiaGmJgYunbtirmNrs8iIiLSGLFhgdw+MpnbRyaz73gRCzZmMD/9KIdzS2qEomrfuPoz1fIdI81buHPRdl47rye7f8gi88BJT8INGYJ/x45U/PgjhV99TcSk0z/23xY1KRgVFhayYMECli9fzqpVq9i7d+9pjw0JCeG8885j1KhRXHHFFaSlpTXlo0VERNqUlJhQpo3vyQOX9OCd1Yd4YuG2WsescvYHf+hv2k9xQQ451p4AZO0vwOUyMJtNmMxmIqZMIecf/6Bg3jwFo1M0qgln/fr13HTTTcTHx3PzzTcze/Zs9uzZg2EYp30VFRXx9ddfM2PGDIYOHUqfPn34xz/+QXFxsafvSURE5JxlMploF+xf574sItnj6oDFZHC+eTuFgeBvtVBe5iTv2E9/byOmVi6cXrx6NRWZmV6pu7VoUIvR+vXreeyxx1i8eDFQ+aghVM5BNHToUAYPHkxsbCyRkZG0b9+e0tJScnNzycvLY/fu3axdu5bNmzdTUVHBzp07+e1vf8uMGTN46KGHuO+++2otHyIiIiK1xYYFnnbfN65+dDdnMMq8hbiIIOgSTsauPDL3FxDVIRSAgKQkgoYMpnTdegoWLiL6/93hrdJbvHoHo1tvvZV3330Xl6vyEcK0tDSuv/56rrzySjp16lTvDywvL2flypV88MEHzJs3jxMnTjB9+nReffVV3n33XUaOHNnwuxAREWlDhiVHkhARSGZBWa15r1e6BnArXzLWbyvxyZGsSymoDEb7Cug7qoP7uHZTp1YGo/nzibrjV21qTqMzqXdX2r///W/8/Py444472LlzJ+vWreOBBx5oUCgCCAgI4OKLL+Zf//oXmZmZvPPOO/Ts2ZNDhw6xdOnSBt+AiIhIW2Mxm3hiUh8ATo0za1y9KTcsdCALS/4B4rtGAHBsf0GN48ImTMAUGEj5/v2UbdnijbJbhXoHozvvvJO9e/fy+uuv06NHD498uNVq5YYbbmDbtm189NFHdO/e3SPXFREROddN6JfAqzekER9Rs1stPKIdRTGplW/2LSMuuXIyw4LsUkqLyt3HWUJDCbvkksp9mtPIrUXNfN0aaOZrERFpSZwugzUHcskuLCM2LJBhyZFYVr0Ay56C3pPgF+/xwYzvycss4fK7BpA84KdF24u+/ZYjt/8Kc0QE3VetxBwQ4MM7aV6tcuZrERERaRiL2cSIlCimDOrAiJQoLGYTpIyr3HlgJTgdxKdUdqdl7qvZnRZy3nn4xcXhKiigaOkyb5feIjU5GK1cudITdYiIiIinJKZCYASUFcDRje5xRpmnjDMyWSxETJ4MqDutWpOD0aWXXsrcuXM9UYuIiIh4gtkCyWMqf96/zB2Msg/acDpdNQ6N+NlUAIpWrcKRk+PNKlukJgcju93Oddddx6xZszxQjoiIiHhEdXfavmW0jwvGGuyHo8LFiR+Lahxm7dqVwAEDwOmk4NNPfVBoy9LkYHT++efjcrl48MEH+d3vflfv8zZv3sykSZOa+vEiIiJSl65VwejHNZgqiohLrrs7DaBdVatRwfwF3qquxWpyMPr666+58sorMQyDl19+meuuu46KiorTHr93716uu+460tLS+Oyzz5r68SIiIlKXyGRo3wVcDjj4LQkplU9inToAGyD8sssw+ftj37mTsh07vFxoy9LkYGS1Wpk7dy73338/hmHw8ccfc+mll2Kz2Woc9+OPP3LHHXfQp08fPv74Y1wuFxaLpakfLyIiIqdT3Wq0fxlx7gHYtlqHWdq1I/TCCwENwvbY4/ovvfQSL7/8MiaTiRUrVjBq1CiOHj1KTk4ODzzwAD169OBf//oXDocDk8nEtddeyxbNtCkiItJ83OOMlhLXJRyTCQpzyyjKs9c6tHph2YJFn2KcoefnXOfReYzuu+8+Pv74Y6xWK1u3bmXw4MF07dqVv/71r5SVlQFw1VVXsXnzZj744AN69uzpyY8XERGRkyWPBpMZcnYTYM8iqmPlIrJ1jTMKHTkSS1QUztxcilZ94+1KWwyPT/A4efJkrr/+egzDIDs7m6KiytHvU6dOJT09nY8//pg+ffp4+mNFRETkVEHtITGt8uf9y4ivHoB9oHYwMvn7EzFxItC2u9M8FowcDgdvvPEG3bp141//+hcmk4nq1UaioqJ4/PHH6d+/v6c+TkREROrjpMf2TzcDdrWIn/8MgKJly3Dk5XmlvJamycHI6XTy1ltv0aNHD+68804OHz6MYRgMHDiQf/zjH0RHR3PixAnGjh3L4sWLPVGziIiI1Jd7APZy4pPDADh+uBBHhbPWoYE9e2Lt3RujogJbG31yvMnBqGfPnvy///f/OHjwIIZh0KNHDz766CM2bNjAnXfeybfffkuXLl2w2WxMmjSJ2bNne6JuERERqY+OQ8E/BEpyCHfsISjMH5fT4PjhojoPb1c9CLuNzmnU5GC0f/9+DMOgU6dO/POf/2T79u1cc8017v3du3fn+++/Z/DgwVRUVPCrX/2KJ598sqkfKyIiIvXhFwDJowAw7V/+07ppp+lOC584Efz8KNuyBfu+fV4rs6VocjCKjY3lL3/5C7t37+a2227DbK59yZiYGFasWMGECRMwDIM//elP3H777TidtZvxRERExMNOms/IHYzqGIAN4BcVReioyiDVFgdhe6TF6N577yUgIOCMxwUHB7No0SJuu+02DMPg7bff5oorrmjqx4uIiMjZVA/APrSa+M6BQGWLUfVDUqeKmDoVgIIFCzHaWCNGk4NRcHBwvY+1WCz885//5PHHH8cwDJYsWdLUjxcREZGzie4BYYngtBPLNswWEyW2cgpPlNV5eOi4sVgiInBkZ1P83Wrv1upjHp/HqD5mzJjBm2++6fUlQZ5++mnOP/98goODadeunVc/W0RExGdMJnerkd/hZUQnVT6dVtdEjwDmgADCq3p12lp3mk+CEcDtt9/OggXeHfFeXl7O1VdfzZ133unVzxUREfG5rj/NZ5RwlgHYABE/mwpA4Vdf4SwsbO7qWgyfBSOAyy67zKuf9+STT/LAAw9ookkREWl7uo6t/DdrC/EdKn88dpoWI4DAfv0ISEnBsNuxffFF89fXQtQ7GOXk5HDdddcRHR1NWFgYAwcO5Oabb2bWrFksX76c/Pz8ZixTREREmiQ0BuIrGwbiTZsBOJFRTHmZo87DTSbTTwvLtqE5jeodjO69917mzJlDYGAgAwYMICsri3fffZdp06Zx0UUXERUVRdeuXbnyyiubs16vs9vt2Gy2Gi8REZFWqao7LTT7a0LbWzFcBtmHTt9NFjF5MpjNlK5fT/mhQ96q0qfqHYyWLFlCamoq+/bt49tvvyUzM5OMjAwWLVrEjBkzmDx5Mg6Hg/leHqQ1Y8YMTCbTGV/r1q1r9PVnzpxJRESE+5WUlOTB6kVERLzo5HXT6jHOyD8ujpDzzwegwMvjgn3Fr74HulwuLrnkEqxWq3tbQkICV1xxRY35iHJzcz1b4Vncc889XHvttWc8pkuXLo2+/vTp05k2bZr7vc1mUzgSEZHWqdMIsFih8Cjx3crYy+kneqwWMXUqxd98Q8H8BUTfcw+mOiZyPpfUOxiNGDGCI0eOnPW4yMjIJhXUUNHR0URHRzfb9a1Wa40wKCIi0mr5B0Hn8ytnwLZsATqTub9yokeTyVTnKWEXX4Q5NJSKo0cpWbuOkOHDvFuzl9U79j300EN8+umn9QpHLdXhw4dJT0/n8OHDOJ1O0tPTSU9Pp6io7oX0REREzjlV3WnReV9i8TdjL3aQn1Vy2sPNgYGEXzYBaBtzGtU7GO3fv58JEyYwYcIEtm/f3pw1NZvHH3+c1NRUnnjiCYqKikhNTSU1NbVJY5BERERalaoB2JbDK4ntFAqcfqLHatVLhBR++SWuktOHqHOByTjdQimnMJvNmEwmDMPAbDZzwQUXcNFFF5GWlkZqaiodOnRo7lpbBJvNRkREBAUFBYSHh/u6HBERkYZxueCF7lCSw+ouC9nwvZM+FyQw7sbepz3FMAz2XTqBisOHSXzuWSKmTPFiwZ5R37/f9R5j9P7777Np0ybS09PZtGkTq1atYtWqVe4+yejoaFJTUxk8eDBPP/100+9AREREPM9srpzscet/iLNsBXqTeeDMU9FUz2mU89e/kT9vfqsMRvVV7xajU2VlZbFx40b3OJ309HT27t2LYRg4z+GVeNViJCIird7G92DB3ZTEjmL25sonr3/10iiswf6nPaX8xwz2XXwxmEx0+/or/BMTvVWtR9T373ejn7mLi4tjwoQJPPLII3z00Ufs3LmTwsJCvvvuu8ZeUkRERLyhapxR8PFviYiufPL6bK1GAR07EDxsGBgGBQsXNnuJvuLRyQiCgoIYPny4Jy8pIiIinhbRAaJ7guEiPrryyeyzDcCGnwZhF8ybTyM7nFq8c3uWJhEREalb1WP78X6VT5qfaQbsamHjx2MKCqL80CFK09ObszqfUTASERFpi6q60+KLvwQg64ANl+vMrUCW0BDCx48Hzt2FZX0ajByOulf0FRERkWbW5QIw+xFZ8gP+VhMVdie5R4vPelrEz6YCYPvsM1xlZc1cpPd5LRgdO3aML7/8kj//+c/ceOONDBw4kLCwMG99vIiIiJzMGgYdh2E2uYiLqpy0sT7jjIKHDcMvMQFXYSFFS5c2d5VeV+95jOqrrKyMbdu2sXnz5hqvUxeXPdO6LCIiIuIFKRfC4e+I99/Jj6SSub+AfqPPPGGzyWwmYvJkTrz2Ovnz5xN++eVeKtY7mhSMDh48WCsA7du3D5fLVeO4ukau+/v7061bt6Z8vIiIiDRFyjhY9hTxpUuB1HoNwAaImDKFE6+9TvE331KRnY1/bGzz1ulFDQpGr732mjsAbd26lcLCwhr7T/fonslkYsKECYwfP54ePXrQo0cPkpOTMZs19ltERMRnElMhMIL4kg0AFBwvpcRWTnB4wBlPsyYnEzRoEKXp6dgWfUrU7bd5o1qvaFAwuuuuu9zrpZ0qJCSE3r17069fP/r27Uvfvn3p06cPXbp0AeDmm2/mmmuu8UjRIiIi4gFmCySPxrpjEe3DS8mzBZF1oIDkgTFnPTXiZz+jND2dgvnziLzt1nNmeEyjutJCQ0P52c9+Rp8+fdxBqDoAiYiISCvSdRzsWESCdTd5DCRzf/2CUfhlE8h6+mnse/ZStm07Qf36eqHY5tegvqyQkBAMw6C4uJiMjAzGjx/PFVdcoVAkIiLSWqVcCEB8xTcAHKvnOCNLeDhhF18EQMH8+c1Smi80KBjt27ePX/3qV5jNZpYtW8bQoUO56aabOHz4cHPVJyIiIs0pMhnadyHebwcA2YcKcTpdZzmpUvUSIbZPP8UoL2+uCr2qQcEoNjaWN954g40bN3LJJZfgcrl4//336dWrFw8//DAFBfVLmSIiItKCdB1HO8tRrP7lOCtc5BwpqtdpIeefjyUmGmd+PkUrVzZzkd7RqMfC+vXrxxdffMEXX3xB3759KSsr44UXXiAlJYVZs2ZRUVHh6TpFRESkuaSMw2QyiA/cB9Rv3TQAk58fEZMmA5B/jnSnNel5+fHjx5Oens7rr79OXFwcubm5PPjgg/Ts2ZM5c+Z4qkYRERFpTsmjwWQm3qh8bD/zQP17gCKmTgGgaPkKHKdM5twaNXkiIbPZzB133MGePXt47LHHCAoK4uDBg/zyl79k2LBhnqhRREREmlNQe0hMJd5/J1D/FiOAwB49COzbFxwObJ/+r7kq9BqPzbAYEhLCn/70J3bv3s1NN92EyWRi3bp17v35+fme+igRERHxtJQLifXfi8nkoijPTlFe/ReIrR6EfS48nebxqacTExN5++23Wbt2LePGjXNvv+uuu7j66qvZunWrpz9SREREmqrrOALMZUT5HwEgc7+t3qeGT7wC/P0p276dst27m6tCr2i2NTlSU1P5+uuvWbBgAT179sTlcvHf//6XQYMGce2117Jjx47m+mgRERFpqI5DwT+EBL9tQMO60/zatyd0zGgACuYvaJbyvKXZFyubNGkSW7Zs4e9//zvR0dG4XC7mzp1L//79uf7665v740VERKQ+/AKgy0ji/HcBDRuADdCuujtt0UIMh8PT1XmNV1ZxtVgs3HXXXezdu5ff//73WK1WXC4XH330kTc+XkREROojZRwJVQOwjx8uxFHurPepoaNHY2nfHufxHIq//ba5Kmx2Xl3ePiwsjGeffZadO3dy7bXXevOjRURE5GxSLiTMkk2wOQ+X0yD7cGG9TzUFBBA+cSLQuuc0qncwmjt3rsc+tFOnTnzwwQf88MMP7m0//vgj3333ncc+Q0RERBoougem8ETiq7vT9jesO809p9HXS3G20tUw6h2MfvGLX9C/f3+PBqQhQ4Zw+PBh7rzzTrp168ZXX33lsWuLiIhIA5lMkDKO+ICGz2cEENinD9bu3THKy7F9/kVzVNjs6h2MunfvzrZt27j22mvp0qULjz76KNu2bWvUhxYXF/Pee+9x2WWX0a1bN9544w2cTifdunVr1PVERETEQ7qO+2mix/0FGIZR71NNJlOrn9PIZNTzjh0OB3/961959tlnycnJwWQyAZWB6bzzzmPo0KGkpqYSGxtL+/btad++PaWlpeTm5pKXl8fu3btZu3Yta9asYc2aNZSVlbm/7Msuu4znnnuOfv36Nd+deojNZiMiIoKCggLCw8N9XY6IiIhnFR3H8efevJn1Pi78ueH/RhARE1Tv0yuys9k77kJwOun6+WdYk5Obsdj6q+/f73oHo2rFxcW88sor/OMf/+Dw4cOVF6kKSfVR/XEWi4UpU6bw0EMPMXz48IaU4FMKRiIics57dST/2X49WRU9ufjWPvQcHt+g0w//+tcUr1hJ1K9/TewD9zdPjQ1U37/fDX4qLSQkhIceeoj9+/fz+eefc+utt9K5c2cMwzjrKzAwkDFjxvD8889z6NAh/vOf/7SqUCQiItImpNTsTmso95xGCxdiuFyerKzZ+TX2RLPZzKWXXsqll14KQEZGBt999x0//vgjx48fJzc3l8DAQGJiYoiJiaF///4MGTIEf39/jxUvIiIizSBlHPEBz7OppOEDsAFCL7wQc3g4jmPHKPnhB0JGjGiGIptHo4PRqTp06MDVV1/tqcuJiIiIr3QaQULgAQBOZBRRXuYgILD+kcFstRJ+2WXkz5lDwfz5rSoYeXWCR186ePAgt99+O8nJyQQFBZGSksITTzxBeXm5r0sTERFpWfyDCOnai1BzNoYB2Qfrv6Bsteo5jWyLl+AsKvZ0hc2mzQSjnTt34nK5eP3119m2bRsvv/wyr732Go8++qivSxMREWl5uo4jIaBxEz0CBA0aRECXLhilpRQuXuzp6ppNmwlGEyZMYPbs2YwfP56uXbsyefJkfve73/Hf//7X16WJiIi0PCkXugdgH9ub3+DTa8xpNG+eBwtrXm0mGNWloKCAyMhIX5chIiLS8sT1Iz48C4Cs/XkYrgbN7gNAxJTJYDJRsnYt5T/+6OkKm0WbDUb79u3jb3/7G7/5zW/OeJzdbsdms9V4iYiInPPMZqJ6dsUPO/YyyMsqafAl/BMSCD6vclqeggULPF1hs2j1wWjGjBmYTKYzvtatW1fjnKNHjzJhwgSuvvpqfvWrX53x+jNnziQiIsL9SkpKas7bERERaTEs3ccS678HaNw4IzhpTqMFCxu0vIivNHjm65YmJyeHnJycMx7TpUsXAgMDgcpQNG7cOIYPH87bb7+N2XzmbGi327Hb7e73NpuNpKQkzXwtIiLnvoIMVv/pGTYUX0nv4VFceOvABl/CVVLCnpGjcJWU0Pn99wgePLgZCj27+s587bF5jHwlOjqa6Ojoeh2bkZHBuHHjGDx4MLNnzz5rKAKwWq1YrdamlikiItL6RHQgPqoQiiFzd3ajLmEODiZswgQK/vtf8ufN81kwqq9W35VWX0ePHmXs2LEkJSXxwgsvcPz4cTIzM8nMzPR1aSIiIi1WfJ9OAOTlWSgrrmjUNarnNCr8/AtcpaUeq605tJlgtHjxYvbu3cvSpUvp2LEjCQkJ7peIiIjULaj3SCIsRwHIOtC4B5CChwzBv0MHXMXFFH71tSfL87g2E4xuueWW0y5uKyIiIqfR5QISAnYDkLntUKMuYTKbiZhS2WpUMH++pyprFm0mGImIiEgjWMOIi6tcPitz17FGX6a6O6149WoqsrI8UlpzUDASERGRM0ro3QGArCw/XE5Xo64R0KkTQYMHg8tFwcKFnizPoxSMRERE5IzaDxpOgKmYCqc/J34sbPR12v1sKgAF8+a32KEsCkYiIiJyRuaOacRZDwCQlb6t0dcJmzABU2Ag5fv3U7Zli6fK8ygFIxERETkzix/x8ZWP6h/bkdH4y4SGEnbxxUDLHYStYCQiIiJnFd+zcnqbzGOWJl0nonqJkP99hqu8vKlleZyCkYiIiJxV3PBhgAubvR0lx3MbfZ2QEefhFxeHq6CAomXLPVafpygYiYiIyFlZE7sRaa1cLSJzzdpGX8dksRAxeRLQMrvTFIxERESkXuKr5zPa8WOTrlPdnVa0ciWOsywE720KRiIiIlIv8T3iAMg82rTrWFNSCBwwAJxOCj791AOVeY6CkYiIiNRLwtA0ALJLOuA80dRWo+olQhY0uS5PUjASERGReonoFE+gpQQnAeSs+65p17r8ckz+/th37qRs504PVdh0CkYiIiJSLyaTifjYMgAytx1s0rUs7doROm4cUDkTdkuhYCQiIiL1Ft8jBoBjGYCrceumVYuoXiLk008xKiqaWJlnKBiJiIhIvcUP7A1AVmkXyNrapGuFjhyJJSoK54kTFK36xgPVNZ2CkYiIiNRbbEoUJlwUuaIp3NK0MGPy9ydi4kSg5cxppGAkIiIi9eZvtRAdVTWf0dYDTb5edXda0bJlOPPzm3y9plIwEhERkQaJ7xYFQGaGARWlTbpWYK9eWHv1wqiooOCzzzxRXpMoGImIiEiDxPftDEBmeXc4vLrJ16ue0yj3vfcp+PR/FP+wBsPpbPJ1G0PBSERERBokPiUCgJyKZBy7VzT5epawcAAq9u/n6O9+x+Gbb2bvRRdjW7y4ydduKAUjERERaZCwyECCg1248CN7294mXcu2eDHHHnus1nZHVhYZ993v9XCkYCQiIiINYjKZSEhpB0Bmpj8UHW/UdQynk6xnZoJh1LGzclvWMzO92q2mYCQiIiINFtcjFoDMip5woHHdaSXr1uPIzDz9AYaBIzOTknXrG3X9xlAwEhERkQZLqBpnlFnRC2Pv0kZdw3G8fi1N9T3OExSMREREpMFiksIwWwxKXREU7Nxad3fYWfjFxHj0OE9QMBIREZEGs/ibie0UBkBWfjvI2d3gawQPGYxffDyYTHUfYDLhFx9P8JDBTai0YRSMREREpFHiU9oDcKy8F+xb1uDzTRYLcY9Or3pzSjiqeh/36HRMFkuT6mwIBSMRERFplHj3OKOesL/hwQggfPx4OvxlFn5xcTW2+8XF0eEvswgfP77JdTaEn1c/TURERM4Z8V0rg1GuoxPl+9YR4CgHv4AGXyd8/HjCLrqo8im148fxi4kheMhgr7YUVVMwEhERkUYJibASFhVI4YkyskoSSfpxLXS5oFHXMlkshAwf5uEKG05daSIiItJo1a1GTelOa0kUjERERKTR3MGokQOwWxoFIxEREWm0hJMGYBsZG6E0z8cVNU2bCkaTJ0+mU6dOBAYGkpCQwI033sjRo0d9XZaIiEirFdUhBL8AM+VGCHmOBDiwytclNUmbCkbjxo3j448/ZteuXXzyySfs27ePq666ytdliYiItFpmi5m4LuFAdXda45YHaSna1FNpDzzwgPvnzp0788gjjzB16lQqKirw9/f3YWUiIiKtV3zXCDJ253Osohd99n/q63KapE21GJ0sNzeX999/n/PPP/+Mochut2Oz2Wq8RERE5CfVA7CzKnpC3kHIPeDbgpqgzQWjhx9+mJCQEKKiojh8+DALFiw44/EzZ84kIiLC/UpKSvJSpSIiIq1DXNfKrrQ8R0fKXGGt+rH9Vh+MZsyYgclkOuNr3bp17uMfeughNm7cyOLFi7FYLNx0000YZ1gRePr06RQUFLhfR44c8cZtiYiItBpBoQG0iwsGILO8R6t+bL/VjzG65557uPbaa894TJcuXdw/R0dHEx0dTY8ePejduzdJSUl8//33jBgxos5zrVYrVqvVkyWLiIicc+K7hpOfVUJmRU+6HPgfuJxg9v6SHk3V6oNRddBpjOqWIrvd7smSRERE2pz4rhHsXJ1JpqMvlH0ARzdCxyG+LqvBWn0wqq81a9awZs0aRo4cSfv27dm/fz+PP/44KSkpp20tEhERkfqJT6kegN0dl2HGvG9ZqwxGrX6MUX0FBQXx3//+l4suuoiePXty22230a9fP1asWKGuMhERkSaKjA8hIMgPh8ufE47OrXYAdptpMerfvz9Ll7buSadERERaKpPZRHxyOIe355JZ3ouYI1+BvQisob4urUHaTIuRiIiINK/q7rRMUxq4KuDQtz6uqOEUjERERMQj4pOrF5TtXbmhFS4PomAkIiIiHhGXHA4msJWGUOxs1yrnM1IwEhEREY8ICPIjKjEEgCxHL8jZBQUZPq6qYRSMRERExGOq1007FjC6csP+5b4rphEUjERERMRj3AOwHX0rN7Syx/YVjERERMRjqgdgH88Px2n4VY4zcrl8XFX9KRiJiIiIx0TEBhEY6o/TCceNPlCSA1lbfV1WvSkYiYiIiMeYTCb3OKPM0PGVG1tRd5qCkYiIiHhUfNdwADKdAyo3tKLH9hWMRERExKMSqgdg50ZgGMDh1VBR5tui6knBSERERDwqpnM4ZrOJ4kIXRUF9wFFWGY5aAQUjERER8Sj/AAvRSZWLx2aGT6rc2EqWB1EwEhEREY9zT/RoDKzc0EoGYCsYiYiIiMdVB6OsvMjKDZlboOi4DyuqHwUjERER8bjqGbCPHy2jIjqtcuOBFT6sqH4UjERERMTjQttbCWlnxXAZZLe/onJjK3hsX8FIREREPK5yoseq+YxIrdy4bymVz++3XApGIiIi0izcM2DnRYLFCoVHIWe3j6s6MwUjERERaRbV44wyDxZhJJ1XubGFd6cpGImIiEiziEkKw+JnpqyogoLYCZUbW/hj+wpGIiIi0iwsfmZiO4cBkGkaXLnx4DfgrPBhVWemYCQiIiLNxj3O6EQ4BEdDeRH8uNbHVZ2egpGIiIg0G3cwOmCDrmMqN7bg5UEUjERERKTZxFU9sn/iaDH2jhdWbmzBA7AVjERERKTZhERYCY8OBAOyLUMrNx7dAKV5vi3sNBSMREREpFm5F5TNCoDoHmC44MAqH1dVNwUjERERaVbucUb7C6DruMqNLfSxfQUjERERaVbVwShrfwFGdTBqoQOwFYxERESkWUV1CMHPaqG8zEmuNQ3MfpB3EHIP+Lq0WhSMREREpFmZLWbiulQtKPujAzpWDcJugd1pCkYiIiLS7OKrHtvP3F8AKS33sX0FIxEREWl2Pw3Atv00APvASnA5fVhVbW0yGNntdgYNGoTJZCI9Pd3X5YiIiJzzqoNRflYJpeH9wBoBZflwNN2ndZ2qTQaj3//+9yQmJvq6DBERkTYjMMSf9vHBAGQdKobkUZU7WtjTaW0uGH3++ecsXryYF154wdeliIiItCnuiR73F0BKy5zPqE0Fo6ysLO644w7effddgoOD63WO3W7HZrPVeImIiEjDnTyfkXuc0ZE1YC/yYVU1tZlgZBgGt9xyC7/5zW8YMmRIvc+bOXMmERER7ldSUlIzVikiInLucgejgzacEV2gXWdwVcChb31b2ElafTCaMWMGJpPpjK9169bxt7/9DZvNxvTp0xt0/enTp1NQUOB+HTlypJnuRERE5NzWPj4Ya7AfjnIXJzKKf+pOa0GP7fv5uoCmuueee7j22mvPeEyXLl146qmn+P7777FarTX2DRkyhOuvv55///vfdZ5rtVprnSMiIiINZzKbiEsO5/C2XDL324jtOg7Wv92iBmC3+mAUHR1NdHT0WY/761//ylNPPeV+f/ToUS699FLmzJnD8OHDm7NEERERqRLfNaIqGBUwYPhowAQ5u6AgAyI6+Lq81h+M6qtTp0413oeGhgKQkpJCx44dfVGSiIhImxOfUj3RYwEE94XEVDi6AfYvh9TrfVsc58AYIxEREWk94rqEYzJB4YkyivPtPy0P0kIe22+zwahLly4YhsGgQYN8XYqIiEibERDoR2SHyl6bzBrzGS0Hl8t3hVVps8FIREREfCOh60ndaR2HgX8IFB+H7G0+rkzBSERERLwsvms4UBWM/AKgywWVO1rA02kKRiIiIuJV1QOwsw8X4qxw/TQLdguYz0jBSERERLwqPDqIoDB/XA6D40cKfxpndHg1VJT5tDYFIxEREfEqk8n004Ky+wogpheExoOjDFY8BwdWgcvpk9oUjERERMTr4k8egL1jEdirFmn/5iX490SY1Q+2L/R6XQpGIiIi4nXuYLQrC2POTVBRUvMA2zH4+CavhyMFIxEREfG62M5hmM0mSkrMFDrrWtrLqPzni0e82q2mYCQiIiJe5xdgITqu8ufMip6nOcoAWwYc+s5rdSkYiYiIiE/Ex5QCkFnR68wHFmV5oZpKCkYiIiLiE/FdQgDILD9LMAqN80I1lRSMRERExCcShg8FIMfRhQqXtY4jTBDeATqf77WaFIxERETEJ0KjggkNdWFgIbui+yl7TZX/THgWzBav1aRgJCIiIj4T3zMegGPmoTV3hCfCNe9An8lercfPq58mIiIicpL4rhHsXZ9NVsItcMWVlQOtQ+Mqu8+82FJUTcFIREREfMa9NMgBG0aXUZhMJp/Wo640ERER8ZnopFAs/mbsxQ7ys0rOfkIzUzASERERn7H4mYntHAZA5n6bj6tRMBIREREfq7GgrI8pGImIiIhPKRiJiIiIVKkORrnHirGXVPi0FgUjERER8ang8ADCY4LAgKwDvh1npGAkIiIiPhefHA7AtlUZZOzKw+UyfFKH5jESERERn9q3MZuDW04AsD89h/3pOYS0szLqF91JSY31ai1qMRIRERGf2bcxmy9e30p5qaPG9uJ8O1+8vpV9G7O9Wo+CkYiIiPiEy2Wwas6eMx7zzcd7vNqtpmAkIiIiPnFsTz7F+fYzHlOUZ+fYnnzvFISCkYiIiPhIse3Moaihx3mCgpGIiIj4REi41aPHeYKCkYiIiPhEQvd2hLQ7c+gJbW8loXs77xSEgpGIiIj4iNlsYtQvup/xmJHXdMdsNnmpIgUjERER8aGU1Fgm/LpfrZaj0PZWJvy6n9fnMdIEjyIiIuJTKamxJA+MqXxKzWYnJLyy+8ybLUXV2lSLUZcuXTCZTDVejzzyiK/LEhERafPMZhMderanx9B4OvRs75NQBG2wxehPf/oTd9xxh/t9aGioD6sRERGRlqTNBaOwsDDi4+N9XYaIiIi0QG2qKw3gueeeIyoqikGDBvH0009TXl5+xuPtdjs2m63GS0RERM5NbarF6L777iMtLY327duzZs0apk+fzoEDB/jnP/952nNmzpzJk08+6cUqRURExFdMhmF4b2W2ZjBjxoyzBpe1a9cyZMiQWts/+eQTrrrqKnJycoiKiqrzXLvdjt3+01TkNpuNpKQkCgoKCA8Pb1rxIiIi4hU2m42IiIiz/v1u9S1G99xzD9dee+0Zj+nSpUud28877zwA9u7de9pgZLVasVq9NxW5iIiI+E6rD0bR0dFER0c36tyNGzcCkJCQ4MmSREREpJVq9cGovlavXs3333/PuHHjiIiIYO3atTzwwANMnjyZTp06+bo8ERERaQHaTDCyWq3MmTOHJ598ErvdTufOnbnjjjv4/e9/7+vSREREpIVoM8EoLS2N77//vsnXqR6rrsf2RUREWo/qv9tne+aszQQjTyksLAQgKSnJx5WIiIhIQxUWFhIREXHa/a3+cX1vc7lcHD16lLCwMEwmz67jUj0VwJEjRzQVQAug30fLot9Hy6LfR8ui38fZGYZBYWEhiYmJmM2nn99aLUYNZDab6dixY7N+Rnh4uP6H3YLo99Gy6PfRsuj30bLo93FmZ2opqtbmlgQREREROR0FIxEREZEqCkYtiNVq5YknntBM2y2Efh8ti34fLYt+Hy2Lfh+eo8HXIiIiIlXUYiQiIiJSRcFIREREpIqCkYiIiEgVBaMW4pVXXiE5OZnAwEAGDx7MqlWrfF1SmzRz5kyGDh1KWFgYsbGxTJ06lV27dvm6LKkyc+ZMTCYT999/v69LadMyMjK44YYbiIqKIjg4mEGDBrF+/Xpfl9UmORwOHnvsMZKTkwkKCqJr16786U9/wuVy+bq0VkvBqAWYM2cO999/P3/4wx/YuHEjo0aN4rLLLuPw4cO+Lq3NWbFiBXfffTfff/89S5YsweFwMH78eIqLi31dWpu3du1a3njjDQYMGODrUtq0vLw8LrjgAvz9/fn888/Zvn07L774Iu3atfN1aW3Sc889x2uvvcbf//53duzYwfPPP8+f//xn/va3v/m6tFZLT6W1AMOHDyctLY1XX33Vva13795MnTqVmTNn+rAyOX78OLGxsaxYsYLRo0f7upw2q6ioiLS0NF555RWeeuopBg0axKxZs3xdVpv0yCOP8O2336pVu4WYOHEicXFxvPXWW+5tV155JcHBwbz77rs+rKz1UouRj5WXl7N+/XrGjx9fY/v48eP57rvvfFSVVCsoKAAgMjLSx5W0bXfffTdXXHEFF198sa9LafMWLlzIkCFDuPrqq4mNjSU1NZU333zT12W1WSNHjuTrr79m9+7dAGzatIlvvvmGyy+/3MeVtV5aK83HcnJycDqdxMXF1dgeFxdHZmamj6oSqFxwcNq0aYwcOZJ+/fr5upw266OPPmLDhg2sXbvW16UIsH//fl599VWmTZvGo48+ypo1a/jtb3+L1Wrlpptu8nV5bc7DDz9MQUEBvXr1wmKx4HQ6efrpp7nuuut8XVqrpWDUQphMphrvDcOotU2865577mHz5s188803vi6lzTpy5Aj33XcfixcvJjAw0NflCOByuRgyZAjPPPMMAKmpqWzbto1XX31VwcgH5syZw3vvvccHH3xA3759SU9P5/777ycxMZGbb77Z1+W1SgpGPhYdHY3FYqnVOpSdnV2rFUm8595772XhwoWsXLmSjh07+rqcNmv9+vVkZ2czePBg9zan08nKlSv5+9//jt1ux2Kx+LDCtichIYE+ffrU2Na7d28++eQTH1XUtj300EM88sgjXHvttQD079+fQ4cOMXPmTAWjRtIYIx8LCAhg8ODBLFmypMb2JUuWcP755/uoqrbLMAzuuece/vvf/7J06VKSk5N9XVKbdtFFF7FlyxbS09PdryFDhnD99deTnp6uUOQDF1xwQa0pLHbv3k3nzp19VFHbVlJSgtlc80+5xWLR4/pNoBajFmDatGnceOONDBkyhBEjRvDGG29w+PBhfvOb3/i6tDbn7rvv5oMPPmDBggWEhYW5W/IiIiIICgrycXVtT1hYWK3xXSEhIURFRWncl4888MADnH/++TzzzDNcc801rFmzhjfeeIM33njD16W1SZMmTeLpp5+mU6dO9O3bl40bN/LSSy9x2223+bq0VkuP67cQr7zyCs8//zzHjh2jX79+vPzyy3o83AdON65r9uzZ3HLLLd4tRuo0duxYPa7vY59++inTp09nz549JCcnM23aNO644w5fl9UmFRYW8sc//pF58+aRnZ1NYmIi1113HY8//jgBAQG+Lq9VUjASERERqaIxRiIiIiJVFIxEREREqigYiYiIiFRRMBIRERGpomAkIiIiUkXBSERERKSKgpGIiIhIFQUjERERkSoKRiIiIiJVFIxEREREqigYiUiLZjKZ6NKli6/LEJE2QsFIRJrNwYMHMZlMjB071teliIjUi5+vCxAROZMdO3bg7+/v6zJEpI1QMBKRFq1Xr16+LkFE2hB1pYmco07uxiouLmbatGkkJSURFBREWloaixYtch87d+5chg0bRkhICHFxcfz2t7+ltLS01jX/97//cdttt9G7d2/Cw8MJCQlh4MCBPPPMM9jt9hrHzpgxg+TkZABWrFiByWRyv2655ZZaNdpsNh588EGSk5Px9/fn/vvvB+oeY/SLX/wCk8nEww8/XKvGnTt3EhwcTHh4OPv372/Q92Sz2bjvvvtISkoiMDCQ3r178/LLL+Nyueo8d/Xq1UyZMoWYmBisVitdunThrrvu4ujRozWOKysrIzAw0P19nGzixImYTCbGjRtXa1+/fv3w8/PDZrPVqvnXv/41Xbp0wWq1EhMTw1VXXcXmzZvPen91fcdnsnPnTkwmExMmTKCoqIgnnniCXr16ERQURLdu3XjxxRfPeg2RVsUQkXPSgQMHDMAYMWKEMXz4cCM6OtqYOHGiMXbsWMNsNhsWi8VYsmSJ8dJLLxl+fn7GiBEjjKlTpxpRUVEGYPzyl7+sdc24uDgjNDTUGD58uHH11Vcbl156qdG+fXsDMC688ELD4XC4j503b55x5ZVXGoARFxdn3Hzzze7Xm2++WaPGYcOGGYMGDTLat29vTJ061fj5z39uzJgxwzAMwwCMzp0716gjNzfX6Nixo2E2m41ly5a5t5eXlxupqakGYMyePbtB39N5551nDB482GjXrp3x85//3Jg4caIRFBRkAMYtt9xS67x3333XsFgshslkMi644ALj2muvNXr06OG+3x07dtQ4fvTo0QZgHDhwwL3N4XAYERERBmBYrVajtLTUve/48eOGyWQyBg8eXOM6q1atMsLDww3A6Nu3r3HVVVcZI0aMMEwmkxEUFGQsXbq0zvs703d8Jh999JEBGNdcc43RtWtXIykpybjmmmuMSy65xDCbzQZgvPPOO/X5qkVaBQUjkXNU9R9EwBg7dqyRm5vr3jd79mwDMLp162ZERkYaK1eudO/LyMgwYmNjDcDYt29fjWvOmzfPKCoqqrHNZrMZEydONADj3//+d501jBkz5qw1jhgxwsjLy6t1TF3ByDAMY+nSpYbZbDaSkpLc5/3+9783AOOqq646wzdz+hoGDBhgHD9+3L1v7969RmJiogEYCxYscG8/fPiwERQUZPj5+RmLFi1yb3c6ncb9999vAMbQoUNrfM7jjz9eK7CtXbvWHXCAGiFv7ty5BmA8+OCD7m0FBQVGfHy84e/vb8ydO7fG9ZcsWWIEBAQYHTp0MOx2e533d7rv+EymT5/uPv+Pf/yjUVFR4d731ltvGYAxZcqUBl1TpCVTMBI5R1X/QbRYLMaePXtq7HM6nUZMTIwBGI8//nitcx944IEGtbrs2bPHAIyf//znddZQn2C0du3aOo85XTAyDMN46KGHDMC47rrrjGXLlhlms9lITEw0Tpw4Ua+6T61h8eLFtfa/+uqrBmCMHz/eva065Nx44421ji8rK3OHqdWrV7u3f/311wZg3Hzzze5tL7zwggEYc+bMMQDjiSeecO+75557DKBG8Hr55ZcNwJg+fXqd91Idyj755JM67+903/GZXH755QZg/OIXv6i17/Dhw+7AJXKu0BgjkXNcly5d6NatW41tZrOZzp07A3DJJZfUOiclJQWAY8eO1dq3Z88e/vKXv3Dvvfdy2223ccstt/B///d/7n2NkZCQwJAhQxp83lNPPUVqaioffvghU6ZMwTAM/v3vfxMZGdnga0VGRtb5Xfzyl78E4LvvvsMwDABWrVoFwPXXX1/reKvVytVXX13jOIDzzz8fq9XK8uXL3duWL19Ou3btuOqqq+jYsWOtfWazmZEjR7q3LVmyBICpU6fWeQ/Vx65du7bWvsZ+x5s2bQLgscceq7UvMzPTfW2Rc4WeShM5x3Xo0KHO7SEhIafdX73v5AHVhmHwu9/9jpdfftkdEE5VWFjYqBo7derUqPMCAgJ4++23GThwIDabjXvvvZeLL764UdeqDoqnCg8Pp127duTn52Oz2YiIiHAPrj7dxJPV208ehB0YGMiwYcNYtWoVBw8epFOnTnzzzTeMHj0as9nMmDFj+M9//kNZWRlFRUVs27aN1NRU2rVr577GwYMHARg+fPgZ7yUnJ6fWtsZ8xydOnCAjI4OuXbvSr1+/WvurB3v379+/wdcWaakUjETOcSaTqUn7q82ZM4eXXnqJjh07MmvWLEaMGEFMTAz+/v6Ul5djtVpPG5jOJjAwsFHnVddVbePGjbhcLsxmzzaGn+6+GvrdjhkzhlWrVrF8+XIGDBhAfn6+e/LLsWPH8v777/P999+Tm5uLYRi1JsZ0Op0AXH311QQHB5/2c+sKTo35jqtbi4YOHVrn/vT0dAAGDRrU4GuLtFQKRiJSL/PmzQPg1VdfZeLEiTX21eex+OawatUqnn32WRITE+nVqxdLly7l2Wef5dFHH23wtQ4fPlzndpvNRkFBASEhIYSHhwOQmJjIrl27OHDgAD169Kh1zqFDh4DaXUxjx47lqaeeYvny5eTm5rq3nfzvyfvGjBlT4/yOHTuya9cuHnvsMQYMGNDge2yo6mCUmppa534FIzkXaYyRiNRLXl4eAElJSbX2ffzxx3WeExAQAIDD4fB4PTabjRtvvBHDMJg9ezbvvfceUVFRzJgxg3Xr1jX4eidOnOCrr76qtf3DDz8EKscIVbcAjRo1CoD333+/1vHl5eXMnTu3xnHVzj//fAICAli+fDnLly+nffv2DBw4EIBu3bq5xxlVjy8aPXp0jfOruwnnz5/f4PtrjDMFI8Mw2LRpE+3atdNadnJOUTASkXqpbhl54403anQtrVq1ij//+c91nhMdHY2/vz/79u1zdwN5yl133cWhQ4e49957GT9+PAkJCbz55ptUVFRw/fXXU1JS0uBrPvTQQ5w4ccL9/sCBA+6B5XfddZd7++23305QUBAffvgh//vf/9zbXS4Xjz76KBkZGQwdOpTzzjuvxvWDgoIYOnQohw4dYsmSJe7xRdXGjBnD6tWr2bp1KwMHDqwxvgjg17/+NTExMTzzzDPMnj27VhdfcXEx77zzDj/++GOD770u1cGorhahffv2UVhY6A52IucKBSMRqZff/va3hISE8Morr9CvXz+uu+46Ro8ezZgxY/jNb35T5zkBAQFMmDCBzMxMBg4cyE033cSvfvUrZs+e3aRaPvroI95//3369u3Lc889597+s5/9jFtvvZXdu3czbdq0Bl3zvPPOw2w20717d6666iomT55Mv379yMjI4IYbbqjxJFinTp3cAXHSpEmMGjWKX/7yl/Tp04cXX3yRuLg43nnnnTo/p7rLrKysrNYYorFjx1JeXo5hGLW60QDat2/PvHnzCAkJ4bbbbiM5OZmJEydy5ZVXMnToUOLi4rj55pvrHHzdUA6Hg+3bt9OhQwdiY2Nr7Vc3mpyrFIxEpF569OjB2rVrmTRpEjk5OSxcuJCioiJef/3107YYAfzzn//kxhtv5MSJE3zwwQe89dZbrFixotF1HDlyhDvvvJOAgADee++9WoOK//rXv9K1a1def/11Fi5cWO/rWq1Wli5dynXXXcfq1av58ssvSUpK4oUXXuDtt9+udfwNN9zAypUrmThxIjt27OA///kPpaWl3Hnnnaxfv/60a7ydHIbqCkan21ftggsuYMuWLTz44IMEBQWxdOlSFi9ejM1mY+LEicyZM4c+ffrU+75PZ8eOHZSXl582+CgYybnKZDT2MRIRkXPAwYMHSU5OZsyYMTXmERKRtkktRiIiIiJVFIxEREREqigYiYiIiFTRGCMRERGRKmoxEhEREamiYCQiIiJSRcFIREREpIqCkYiIiEgVBSMRERGRKgpGIiIiIlUUjERERESqKBiJiIiIVFEwEhEREamiYCQiIiJSRcFIREREpMr/B8HiTImERAAqAAAAAElFTkSuQmCC",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject Text(0.5, 34.0, 'matrix power $n$')"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xn = reduce(vcat, [(A^n * float(x))' for n = 1:10])\n",
    "\n",
    "plot(xn, \"o-\")\n",
    "ylabel(L\"(A^n x)_k\", size=20)\n",
    "xlabel(L\"matrix power $n$\", size=15)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "54c1a2e2",
   "metadata": {},
   "source": [
    "We can't see much, because there are eigenvalues with $|\\lambda| > 1$, so the result blows up exponentially:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "024550be",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5-element Vector{Float64}:\n",
       " 9.848307006693481\n",
       " 9.848307006693481\n",
       " 7.593939120984211\n",
       " 9.873683114998084\n",
       " 9.873683114998084"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "abs.(λ)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "95fe4777",
   "metadata": {},
   "source": [
    "It's almost a tie, but the last eigenvalue has the biggest magnitude $\\approx 9.87$ … or actually the last two complex eigenvalues, since complex conjugates have the same magnitude.\n",
    "\n",
    "The combination of these two complex-conjugate terms leads to an oscillation, which we can see more clearly if we divide by $|\\lambda_5|^n$ to cancel the exponential growth:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "f922d8f0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject Text(0.5, 34.0, 'matrix power $n$')"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(xn ./ abs(λ[end]).^(1:10), \"o-\")\n",
    "ylabel(L\"(A^n x)_k / |\\lambda_5|^n\", size=20)\n",
    "xlabel(L\"matrix power $n$\", size=15)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9dbfc04f",
   "metadata": {},
   "source": [
    "We can plot a few more $n$ just to see that the oscillation never stops:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "b6915074",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkgAAAG6CAYAAADzrLkgAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8/fFQqAAAACXBIWXMAAA9hAAAPYQGoP6dpAAEAAElEQVR4nOy9d5xc5X0u/pw+fWZ3tU0FdYoQIATIFGHAyCAbA7lJ7Fxf10uKw3XDXNuAUzBJTMkvIcQpOCaJrzGucWLHVQjZBoOFECBRhESRUF1t350+c/rvj/d9T5uZ3ZFY7c7unufz0We1M2dn3tPe87zP9/l+v5xt2zZChAgRIkSIECFCOOBnegAhQoQIESJEiBCthpAghQgRIkSIECFCBBASpBAhQoQIESJEiABCghQiRIgQIUKECBFASJBChAgRIkSIECECCAlSiBAhQoQIESJEACFBChEiRIgQIUKECECc6QHMRliWhePHjyOZTILjuJkeTogQIUKECBGiCdi2jUKhgIULF4LnJ9aIQoJ0Ejh+/DiWLFky08MIESJEiBAhQpwEjh49isWLF0+4TUiQTgLJZBIAOcCpVGqGRxMiRIgQIUKEaAb5fB5LlixxnuMTISRIJwEWVkulUiFBChEiRIgQIWYZmrHHhCbtECFChAgRIkSIAEKCFCJEiBAhQoQIEUBIkEKECBEiRIgQIQIICVKIECFChAgRIkQAIUEKESJEiBAhQoQIICRIIUKECBEiRIgQAYQEKUSIECFChAgRIoCQIIUIESJEiBAhQgQQEqQQIUKECBEiRIgAwkraLQTTMrFraBeGy8PojHVifdd6CLww08MKESJEiBAh5h1CgtQi2HZ4G+7deS8Gy4POa92xbty+4XZsWrppBkcWIkSIECFCzD+EIbYWwLbD23Dr47f6yBEADJWHcOvjt2Lb4W0zNLIQIUKECBFifiIkSDMM0zJx7857YcOueY+9dt/O+2Ba5nQPLUSIECFChJi3CAnSDGPX0K4a5cgLGzYGygPYNbRrGkcVIkSIECFCzG+EBGmGMVwentLtQoQIESJEiBBvHSFBmmF0xjqndLsQIUKECBEixFtHSJBmGOu71qM71g0OXN33OXDoifVgfdf6aR5ZiBAhQoQIMX8REqQZhsALuH3D7XXfY6Tptg23hfWQQoQIESJEiGlESJBaAJuWbsL9V96PBdEFvte7Y924/8r7wzpIIUKECBEixDQjLBTZIti0dBPWd63HFd+7AgDw1Xd+FRt6NoTKUYgQIUKECDEDCBWkFkJCTjj/P3vB2SE5ChEiRIgQIWYIIUFqIUi8BJEjol5Fr8zwaEKECBEiRIj5i5AgtRA4jkNUjAIAykZ5hkcTIkSIECFCzF+EBKnFEJUIQaoYoYIUIkSIECFCzBRCgtRiiIkxAEBZDxWkECFChAgRYqYQEqQWAwuxhQpSiBAhQoQIMXMICVKLIfQghQgRIkSIEDOPeUuQ+vr68MEPfhAdHR2IxWJYt24dnn/++ZkeFmISCbGFClKIECFChAgxc5iXhSLHx8dx2WWX4aqrrsLPf/5zdHV14cCBA8hkMjM9NFdBCj1IIUKECBEixIxhXhKk++67D0uWLMHXvvY157Vly5Y13F5VVaiq6vyez+dP2diYSTtUkEKECBEiRIiZw7wMsf3oRz/ChRdeiPe+973o6urC+eefj4ceeqjh9vfccw/S6bTzb8mSJadsbKEHKUSIECFChJh5zEuC9Oabb+LBBx/E6tWr8eijj+KP//iP8alPfQoPP/xw3e3vuOMO5HI559/Ro0dP2dhCD9IchWUCB58EXv4++WmZMz2iECFChAgxAeZliM2yLFx44YW4++67AQDnn38+XnnlFTz44IP48Ic/XLO9oihQFGVaxhZ6kOYg9v4I2HIbkD/uvpZaCGy+D1hzw8yNK0SIECFCNMS8VJB6e3uxZs0a32tnnXUWjhw5MkMjcuEUipxrIbb5qqDs/RHwvQ/7yREA5PvJ63t/NDPjChEiRIgQE2JeKkiXXXYZXnvtNd9rr7/+OpYuXTpDI3IxJ0Ns81VBsUyy37DrvGkD4IAttwNnXgfwwjQPLkSIECFCTIR5qSB95jOfwY4dO3D33Xdj//79+Na3voWvfvWr+PjHPz7TQ3MraetzhCDNZwXl8Pba/fbBBvJ9ZLsQIUKECNFSmJcE6aKLLsIPfvADfPvb38batWvxl3/5l3jggQfwgQ98YKaHNrfS/CdVUEAUlLkabisOTu12IUKECBFi2jAvQ2wA8J73vAfvec97ZnoYNYhKcyjN/0QUlOWXT9uwpg2J7qndLkSIECFCTBvmpYLUyphTCtJ8V1CWXkq8VuAabMABqUVkuxAhQoQI0VIICVKLYU6l+c93BYUXiBEdQC1Jor9vvjc0aIcIESJECyIkSC2GOZXFFiooJEvvfQ8DqV7/66mF5PW5nMUXIkSIELMYIUFqMTAFqWpWYc5287JPQQliHikoa24AbtkDxBaQ31duAm55OSRHIUKECNHCCAlSi4F5kABCkmY9mIISyfhfn28KCi8ANiW8SmLuk8IQIUKEmOWYt1lsrQpFUMCBgw0bZb2MuBSf6SG9day5AcgeBrb+Kfn9PX8HrP/I/CMJrLbVXPCXhQgRIsQcR6ggtRg4jptbPiQGtej+v/PM+UeOLAswqCKolWZ2LCFChAgRYlKEClILIipGUdJLc6MWEoNacP8/HxUUL9kNCVKIELMLlknqtRUHSdbt0kvn3yJvHiIkSC2IOVULiUHNuf/X54C36kShhwQpRIhZifnaSzJEGGJrRcypWkgMPgVpDhG/ZuE9l3PpvIYIMZcxn3tJhggJUitiTnqQqnn3//ORIPgUpGLj7UKECNEamO+9JEOEBKkV4ShIc9WDZMzHEJvnXGpz6LyGCDFXcSK9JEPMSYQEqQXheJDmUihqvpu0vefS0gFDm7mxhAgRYnLM916SIUKC1IqYmwqSN8Q2zxUkANBDo3aIEC2N+d5LMkSYxdaKmJMepFBB8v+ulYFo28yMZaYQpkqHmE1gvSTz/ajvQ+LI+3O5l+Q8R0iQWhBzLovNMv3G5LkUOmwWNQRpnilIYap0iNkG1kvyex+u8+Y86iU5jxGG2FoQc64Oklc9AvxFE+cL5nOILUyVDjFbwXpJSlH/6/Otl6RlAgefBF7+Pvk5TzL3QgWpBTHnPEhBghQqSPNHQZo0VZojqdJnXheuxEO0JtbcALz4HeC1n5Km27/3yPwKD89j9TdUkFoQc86D5DVoA/OUIAXI7nxJ9Q9TpUPMBTDF17aB5ZfPL3I0j9XfkCC1IOacBylUkGr3eb6E2MJU6RBzAWxBM1/uWyAslImQILUk5pwHqRoqSPM2xBamSoeYC2D3q2XMnxpmofobEqRWxNzzIAUI0lwhfieC+RpiY6nSLOunBhyQWhSmSodobfiycOfJ4iZUf0OC1IqYsx6kSJr8DBWk+dOPjaVK10WYKh1ilmA+tgoK1d+QILUi5qwHid1I85Ig0XPJ8f7f5wNYqjQjyAzzLVU6xOyFNyQ+X+7dUP0NCVIrYs55kEKC5O5zrIP8nC8eJIY1NwCXfdr9/bceBG55OSRHIVoflhVQkEL1d76ovyFBakFEaVGyilGBbdfLIJhlYCbtkCABsQXk53wjSIDf3Nq+ck5PrCHmEOarfxBw1d94p//1eaL+hoUiWxBMQbJho2pWnZDbrEWNglQm9US4RtLtHASbZOMLgGHMH5neC68iWhmfuXGECHEiCC5m5tu9u+YGEh5/mJKhi/4QeNd982KBEypILYiIGHH+Pyd8SMykneiiL9iAOU9SZRmYghSfxwqSXnX/X83O2DBChDghBENq8/He9c7XsY55QY6AUEFqSfAcj6gYRcWo1PiQTMvGzoNjGCpU0ZWMYMPydgh8iysxaiDEBpBVmKjMzHhmAozozucQm5fsV7IzNowQIU4INX0U58Ci9UTh3edqbubGMc0ICVKLghEkby2kLXv6cdeP96I/567Ee9MR3Hn9Gmxe2zsTw2wOLMQWawd4kRRb06vALI8cnhAcBYnG8ucjQTI8ClIYYps9sExSDLA4SBY586kPGVB7r87He9frGw0JUoiZBvMdMQVpy55+3PzIrpqi7wO5Km5+ZBce/OD61iVJzKStJAExCmiF+bcKcwgSzWKbb/sPBCbZ7IwNI8QJYB43KnUQEqSAgpSdsWFMN0IPUovCWwvJtGzc9eO9E3XEwV0/3gvTatGMN6YgKSmAZujNu0w2x6TNFKR5kirshU9Bys7YMEI0iXneqNTBfDdpA/NWQQoJUovCW01758ExX1gtCBtAf66KnQfHpml0JwjVoyAxgmQ03p85B1MnYUXA40Ga55NsGGJrbYSNSl2ECtK89SCFBKlF4e3HNlRojkw0u920wtBcMhTxKkjziCB495UpSPNp/xnCENvsQdio1EWw99p8v3fnkfobepBaFN5q2ouTkUm2JuhqcrtpBQuvAYCcnJ8hNravHA9E2+hrZVKhl59Ha5RZGmKzTRPl556HMTwMsbMTsQsvACfMcZNy2KjURY2CNM8J0jxSkEKC1KLwepA2rGpHbzqCgVy1ruDNAehJk5T/lgMNr1liHP37Cyjl1iOuauhVK/NHvmQrTikGyDH/60piZsY0E5iFIbb81q0YvPseGAMDzmtiTw+6v3AHUtdcM4MjO8U4wUalpmVi19AuDJeH0RnrxPqu9RDmSqYbI0gcD9hWraI0H+BrtVIATAMQ5j59mPt7OEvh9SAJPIc7r1+Dmx/ZVbMdq4B05/VrWrMeklrAgerFeLLwRyj93W4A7wHwHsT/n4nLPziEled3TfYJsx+MGEhRksUHDoBNJt4WJ0hTqp4EQ2wtXk09v3Ur+j59CxmnB8bgIHn97x+YuySJNSrN96O+D4kj7y+9FNsOb8O9O+/FYNlVk7pj3bh9w+3YtHTTtA35lIERpNgCoDQ0Pz1IQdVMzZOyLXMc82YRP9vg9SABwOa1vXjwg+sRk/0Pp550pKVT/A+8lMWW7OdRMjO+10slHlv+ZQ8O7B6amYFNJ7wEieeJkgS0/Eo0v3Ur9l+9CUc+8hEc/+xnceQjH8H+qzchv3XryX2gt+ipqbW0l8M2TQzefU8NOSJvktcG774HtjlHTcq+RqVBEus2Kt129Fe49fFbfeQIAIbKQ7j18Vux7fC2Uz7UUw5GiFgngHkZYgvs8zzxEIYEqUXheJA8q+7Na3txsSeM9plNq/HUbe9oWXJkWTaefEynv9WfZJ/63huwWrU8wVTBG2IDADlOfrbwSpSpJ97QEuCqJydFkvRAEkEL+5DKzz1fs+8+2DaMgQGUn3t++gY13ZikUal55nW4d+e9sOsoTOy1+3beB3O2Z7qx+5S1CWrxhc0pQdAzOk98SCFBalEEFSSGgbzq/L87FWnNsBpF/xtZlIocasmRi+K4iv43stM2phmBV0ECXB9Si65ET4l6YlmASa9djk47LbwKNYaHp3S7WYs1NwDv/br7+4U3Abe8DKy5AbuGdtUoR17YsDFQHsCuoVprwKwCW+AwX1aL3renFCFBCtFK8HqQvBjIu6vwbEVHK6PkIXNTsd2sRY2CRH1HLboSPSXqiTeDjT1oWtioLXZ2Tr7RCWw3q8HqmAFAstdpMzJcbo4cNrtdy4IVdZ3XJToC+9zC6u9UIiRILYp6ClJVNzFWcrsq51qcIMVTzTWjbXa7WYuggsSIUouG2E6JeuJdgSZpSLiFJ9nYhRdA7OlpbCLnOIg9PYhdeMH0Dmwm4CWyngdlZ6w5ctjsdi0LJ8TGquDPR4JE7185SX6GClKImUQ9D9JAoJp2ttzaBKl3dQbxqArAarhNok1B7+rMtI1pRuAoSLMjxHZK1BOmhPISEKP96Fo4xMYJArq/cEeDNwlp6v7CHXO/HhLgP0+e+Wh913p0x7rBNQihc+DQE+vB+q71p3iApxjsPnVM2sX64ee5DHbekz3kZ0iQ5gfuuececByHW265ZaaH4kOwWS2AmnYj+RZXkHiew+Vn74GT1u4D+X3j+1aDb2Ef1ZTAUZACIbYW7cd2StQTZtCWokA0Q/7fwiE2AEhdcw0W/f0D4ONx3+tidzcWzeUU/yAaKEgCL+D2DbcDQA1JYr/ftuG22V8PyQmxUYJkmyQLcz6BnXeHIGVnbCjTiXlNkJ599ll89atfxbnnnjvTQ6lBPQ/SQN7vR8pWWv8mXdn2OjZn/hoRxW/oTSglbP7Y2vlXBwnwpPm3poLkU0+CJOlk1RPDcwxYNfEWDrExpK65Bsl3v9v5vecv/xKrfrFt/pAjIECQ/HPQpqWbcP+V96Mr5r+Pu2PduP/K++dWHSSWxeZ9bb6AnffUQvIzVJDmNorFIj7wgQ/goYceQltb20wPpwbeStoMTEHqiMsAWt+DBABQC1gZ2YErNmadly6Kfwsfuuib84McAbMyzZ+pJ2KX/xydtHrCJlgxAkQy5P+zZBVql9zzJC89bX6E1bzwEtk6LYI2Ld2ER3/nUSQkooye3XE2tvzOlrlBjgD3/o22kRCx97X5ANuuoyCFBGlO4+Mf/ziuu+46bNo0+U2sqiry+bzv36mGtxcbQ3+WEKQze4lRrtU9SACcDBiTizovJYVR8EbrkoMpR02af+sTJICQpGX/8T3n98j69SevnniPwSwJsTGYRbefoNXg3jctE88OPIufvfkzPDvw7Oyv/eOBVc6iTz0br1c2om+krW7dMoEXoNGwk8ALsz+sxmCZLjmQ4y3vHzwlMFQ4FolZkGAxlZiXrUa+853vYNeuXXj22Web2v6ee+7BXXfddYpH5Yc3i822bXAc5yhIZ/ak8Jv9o7NEQSIPFMNDkDQ7BugTpJHPNdSYtOP+11sYVtH1SQkR5eTVE5bmL0ZmVYgNAMxiGeOZ1VDlFPhDZay2bJ9vbi632jiwewhP7vwASnqKvJAD4l/Yjst/b7VPAdYtHZpFCFKpxYn/CcF7j8pxQIoT9aRFS3ScEniPQaggzW0cPXoUn/70p/HII48gEok09Td33HEHcrmc8+/o0aOneJSuB8m0TegWIULMg3RGD1GQClUDZqtXoVbJ6tuAe6xVO+avizPXETRpt3iavxdm1p0IzdJbGK/3GMyiENuB3UP4Zey92L3uFuxdcxO2PZfAw1/Y7rTI2XZ425xttXFg9xC2/MselPSk7/VSVq1pE+S1AhT11kw+OCkwpYjjCbmXZ8+9O2Vg51aQPRmoIUGak3j++ecxNDSECy64AKIoQhRFPPHEE/jyl78MURRh1qkOrCgKUqmU79+pBlOQAHfyGXAUJHfCavVMNlSJgqRbbq0jzYrPCvVkyjBLQ2wAYGazzv+tKSFIkVkTYmMEoSr4GwozgvDG8wNzttWGZdl48rtv0N/qZzN62wSVPIpKaS6pKyyDTYqTBAVpHobYvPNXJE3+PwsWN1OBeUeQrr76arz88st44YUXnH8XXnghPvCBD+CFF16A0CIGTJEXIfPEjF0xKlANEyNFImEvaYshTpvWtnQ1bdt2FCTTlp2XSYhtPilIs8+kzWDm3JWiVX4LDwXmpRNnRxabjyA0KHfw+Hf3YajUuNnybG610f9GFqXsxBXuvW2CggTJshvXPptVYPcou2ed8Hjr37tTBu/85ai/80NBmncepGQyibVr1/pei8fj6OjoqHl9phGVotBUDWWjDD1HJquIxCMTk5CJyShpldb2IRlVgIYHdcu91DQrNr8VpBZP8/fCzGWd/1ultzBepw5SIIvNsgC+9dZpzRAELW+jN78Sx9P7J9xuNrbaONE2QV6CZMNGxaggLsUb/dnsgdeg7f1ZR0EyLRO7hnZhuDyMzlgn1netnxtm9XoKklEl97TUnE1ltmLeEaTZhJgYQ07NoWJUMEL9R73pKDiOQyoqoS9bQbbcwrWQVJb9w8E03YlCtWN104XnLBr1YmvRQpFe+BSkUslJGDhhGHWy2GwL0ArupNtCaJYgxPTJw+2zsdXGibYJKgfIfkkvzQ2CxO5ROeAfDOzvXDbqu/NXHFBScAr/VnNzniC13tJtBvD444/jgQcemOlh1ICl+pf1stOktidFLshMlNTjaGkFiREkJQlDdyV3zY6Tzu7WHJHhJ0ONB2n2+Bi8HiQYBmz9JK833RNik6LE8Aq0bJitWYKgJIU52Wqjd3UG8czEx8DbJqgUKNsxZ4zaToiNLmrqhMfnslEfgH/+4nkgQhcF8yDMFhKkFoa33QhL8e9NkwdLejYQJHYDBQmSRQmCMU9UpEYm7VkQYrNy/knwpI3aXpM24IbZWtSo3SxB+P13/q+67832Vhs8z+Hy31tNf6u/kPG2CQoas+dMqr8WCLEFMlBNy5yzRn0HwfnLMWqHBCnEDIKl+peNMvqz5CLtoQQpE6MEqZWLRToKUgqG5k4Qqs0IwnwhSIEQmzSLTNrZKSJITh0kOsmyMFuLZsP4CEKDxqQb37ca71xOWm0kZX8q/FxotbHy/C5sflcJcd5PYhMZqaZNUJAgzR0FiWWxsfC4P8S2a2hXjXLkxWw26jsIzl/zKJMtJEgtjLoKUoa8xhSkls5io0UiGypIAYI0Z6sRNwyxlVq+K7gvxIa3YNT2NqsFZkUm28rzu3DlRh6C6fcjJdoUH0HYtHQTPnTWh5z3P7P+M3Om1cbKRcP47cznnd+X4yl88P8urmkTVM+DNCcQDLEFFjfNGvBno1HfQY2ClCE/54GCFJq0Wxj1PEi91IOUjs2CEBtTkCIpGGMu2TEhw7RFCB6CNGdNjt4+RsE0f9skZfxb2OhoTlmILVBNvMVDbAyL20pYMPIiBnsuBgCc8/KDuOyX34SgyL7t8prbgmRxcvGsDKvVQ/43u/DmrxYB55HftT4Tb/72h9D9Z3/uazkzZxUkJ4stcO/S15s14M9Go76DUEEK0YqISrUKUk/Ag9TS/diqHgVJ8/sYqmbc8SDNaZOjt2K4k+bvye5pcR8SI0hclIz9rYfYKBlkClKLT7JWoQiTLlQAIFk8Brtcewxyqksky0Zrn9Nmkd+6FX0P/gKa7hatNcQojOFR9H36FuS3bnVer/EgzTkFiaX5+z1I67vWozvWPSeN+g4aKUgtrP5OFUKC1MJgClJBK2GkSGR+ZtLORMkKtqUraVMFKf96BeUDh31vvbHtNOR/9eTcNzl6w4jMfyOIgEANwC2c6m/rutOLTVq4EMBUmLQDHqQWn2StYgGG6Cp8Ji/XbVg7rrpKWDDcNBthmyYG774HAGAInv33/H/w7ntg084DQVI4dwgSS/MPhNjoORZ4AbdvuL3un852o74DRhKD9+48CLGFBKmFwTxIo+UCbBuQRR7tcUKMZkUWm5pH/mgEfd94CabtX2GpZgx9f/FPePH7/zK3TY7ePkaCJ6I9C1L9TQ8RkHpIk8qTrqZtBDxIsyTEZhaKMDwKkiUovuPCMNcUpPJzz8MYIA2lTcHN5nPIom3DGBhA+bnnAbiEKEIJ1JwJsWnB8HhtL7ZNS4lRPyH5W9LMBaM+gNpekvMoiy30ILUwWBbbWIVMNr3piFOkj2WxZSutWyjSruQwuIvcTJZAiB1nm7A5AYZA9k368jfA/b4Nm5+4+OBMmRxt0yQPi+FhiJ2diF14wYl1tA8qJwxygpCDFl5ps/Aan0qBT5EsrbfsQRIDJu1WD7EVizDERc7vpiDXJUhZNev8v5GCZBoGXn3mUVTG+xBtW4Qz33YtBLE1p2Bj2L3ffARJiNbdjhGkrlgXjhSONEzzNy0bOw+OYahQRVcygg3L2yFMcu/PKIIhNsek7T/Hm5Zuwr6xffjqS18FAPzhOX+Ij6/7+OxWjhgapvlnfZu95bmyBdGad2cIAK6ClKuSm5QViQRmh4JUfq0PRoXcICbtKydpBWhKxlmJiiNZnHWUx96lE0+SM2FyzG/disG773FW0gAg9vSg+wt3+AyqEyJocGSQaleirQaW4i+k0+BjZLwnT5A8rUaAWRZic0lBoxBb1vOwqNSp77X70a9j4dN34WyMOq8NPtaB45fcifOv/cjUDnoKIHa695vpCTF6w43e7YIEqZ6CtGVPP+768V7HTwmQRd+d16/B5rW9Uzr+KQNbwDiFImP+1z2oevyG7ZH2uUGOgDom7Qz56VGQpmSubEGEIbYWhuNBUsnNyPxHgJvFVtUtVPXW9OcYY+RBYsNVkBSa7eN96CzT0y1ncsxv3Yq+T9/iu+EBwBgcrDGoTohgejvDbAix0RR/IZMBHycr55MPsXkqaQOzJsRm5IsBD44MM1/wb2MZKOjua8EQ2+5Hv47ztn8Knfao7/VOexTnbf8Udj/69VMw8reG2IUXQKRhVa+CZLLzx3EQe3oQu/ACAH6C5P2dYcueftz8yC4fOQKAgVwVNz+yC1v29J+S/XjLcBSkYKPp2vvAe97HqmOnemTTh0kKRU7ZXNmCCAlSC4MpSCXK4HvS7kM2IYtgynSrGrVFhYT/LF5yXpMpQTI9BOm6iz6Eepgpk6NjUK1Xo4i+5jWoTohGCtIs6MfGQmxCOu0SpLesIM2uEJtWrAKcO02aggKr4FeQvP4jwB9iMw0DC5++CwAQjCSx33ufvgumYUzhqN86OEFA9xfuAGDDENySBoYQcdIpur9whxNCYYSoO9YNwO9BMi0bd/14b500DDiv3fXjvTCtFqwJ1ijEVieM6lUOvab9WY9gqQNGkCrZqZ0rWxAhQWphMA8Su/EWZtyVLM9zLV8sMtapQYyadQkS8zKIPT24/Lo/wv1X3o8F0QW+v58pk6PXoFoXAYPqhGjkQWrQ9LKVYOayAKYqxNYoi621jZ5q2U9cLF6GmfMTJK//CPA/KF995lF0Y7SGHDHwHNCDUbz6zKNTMt4ThWnZePrAKP77hT48fWDUR1JS77gCiy4bh624CpLNi+Db01j09w/4QiflQF0gL0nceXCsRjnywgbQn6ti58EWVF1qerE1LvLq3efx6lwiSAGTtieLbUrnyhZE6EFqYTAFSbVom5GUP/6fjkoYL+st60Pi9AK61+dw4LkO8rtlQKIrTeZlYKvQTUs3YXFyMd774/cCADadtgl/c8XfzEgc32tQfcvbBQskMtRpegmQauK7hnZhuDyMzlgn1netnzEvgxNi8ypIbznEFujFpuYAywRa1K+hVv0rX1OQYRYmJkjeUEtlvK+p72l2u6nEpJ6gShapJVVEIzbgOQxLvnAj4h5yZNu206yWhdi8CtJQoTE58qLZ7aYVTop7zP+zTpFX73mfmwSpNsRmDA819RHNzqmthpAgtTCYB8mwWKNa/0M2HZOB0XLrFotU80gtqaLzik8A2wHe0iHSB6UVUbDo9y/1rUK9JkdFVGaMGHgNqm95u+Dqi6FOunCrVRN3QmyZDIS3EmIzDcCiSkxQQQKIlyHW/hZGeuqg1SFIVsCDVEOQPEpCtG0RmkGz200VmCcoGBhhnqAHP7gem7vI+dc5f585taDBU+oUVbMKyyaFYFmIzetB6ko2Vym+2e2mFTWFIgNFXj0Eyasczi0PUoNK2rYJMZOo/zcBNDunthrCEFsLgylIFke8PD3pWgUJaNFMNtt2CkVG3nYZAEAwNYcgKYt5pM7u8P2JdwUW9HVMJxyDKtcgLhIwqE6IidL8AWfyacVq4pZDkNLg3kqIzZvVxY6DILnHoEWN2rZtQwvcWhZfm+bPMtic1kCe6/jMt12LQXSgkb3GsoEBdODMt107ZeOeDE17gsrkIa/B/xAsDzUuCslCbEWPt27D8nZSoqTBeDgQ5WrD8hYjyZbpXrvsWhUkUtMMqFF/fSG2OeVBCsxhUgygtonYmuVTN1e2IEKC1MJgHiRwKmSBR0fc3/8p47QbmdlaSHV9DFoJoKtKA+TG4i0dokluNs2O+R+c8E8webU2lXq64BpU671JJgKvQXVCNJHm36rVxL0hNuGthNh81cQ9JL8FWhZM5MGxq1UYnP+eMwWlYYhtYYJUG/dex4Io4vgldwJADUliv/dfcue01kNq1hP0xqGjAADd9l+75VF/8162v1ExiqRM1CbN0qCZZF4SeA53Xr+m7nexx+qd169pvXpIXn+g7DkGDfyDXgUpp+ZgWK1lvD9pBFVwjnNUJE4vTt1c2YJo+q4cGRnBJz/5STz22GNQVRUrVqzAunXrcP7552PdunVYt24dMpnMKRzq/ANTkDjeRFdaBB+YQJiCNJNZbI18DHdv6sBVAMAJMCwyTsFyFSTNjvsfnAgoSNrMmndT11wD/P0DOP7522BX3X0Tu7tPsA5SIwXJJUi7hnY1XU38op6LTmQ33hKcOkjeNP+TUZB0j//Iu9KMtgH5Y8AM+TUm8+CYhYKvijZAQ2y5+llsCxMLsT+7vybN//xrP4LdABY9/UV0wQ29jHDt6Lvki9NeB6lZr085PwIA0G2/cl3N+R/8TEGKS3FHRWOvy1Rt2by2Fw9+cD1u+e4LqOpuX8aeVq6DxBQijvcTezlOsi8DClKw/lVWzdYknsxK1PNRRtJAeYT41Ohc2f/nd8KiiyrgJObKFkTTCtInP/lJfPe730UkEsG5556LwcFBfOMb38Ctt96Kq6++Gh0dHVixYgV+53d+51SOd17BO9l0p2pPlVtNe2YI0kS1Tb70XzvJL0oShkEmRN7UIVCfkWrGagiSV6qfyRAbQ+qaaxA5+2zn967Pfw6rfrHtxG74hiZtluZfarpK+HRXE5+yNP9go1qGGSwW2UxdHqtY8tXrAphJ2+9BYuGU3jh5yFf0CuxAhtP5134Eg+/7qe+1jg99fUaKRDbr9WnnyLlmBImjikjFv/s+giTyorOwCxaL3Ly2F5escMPqX7/pIjx12ztakxwB/gw2L7FvoCAFK6jPCaO2qQMWfb5457BAP7bUNddgwc03O2/H3375ic+VLYimFaTHHnsM559/PrZv3w6Fpn329/dj165dzr/nn38eP/zhD0/VWOcdJEECDwEWTCxI1b4/kx6kyXwMSRDyY0dSMDRCkHwKklVHQfKG2LQ8LNsCz81sFNibwiotWXLiUjHdR0uIof+1cZTyKuIpBb1CjKxO9HLTVcKnu5q402oknQZP7/m3FGILhhmdeirT+yCZ7NrlQDw4G9+1wCFISlyEWjJg0Uratm07bX+CITbDNqBbuqOeMKhV/7ETRl8DVr59KnetKTBP0ECuWvcYcCDKzmkxEkozbLIfspaHGmmHWvHfk0wxYwu6uBRHxajUbblS1tww8Vk9qdYLq3kRzGBjqJNgYVomqiYh221KG8bV8blBkLzn0Hsc6vRjM0dGnP/zkeisDat50TRBsiwL73znOx1yBAC9vb247rrrcN111zmvjY3NIfd+C0DgIrDsEtrrJAukHA/S9BOkyXwMCY7cWGUuBoNOiryp+T1IE4TYLNtCUS8iJddhhtME2zShD7lprPZJkoMD1Yvx5E/Xo1Te7bwcjy/E5dLFWKmVsL5rPbpj3RgqD9X1IXHg0B3rntZq4rauwyoWYYPD4JiAclHFeGY1Mtn9sHUdnCRN/iEMDkEKKkgzUyyyWQ/Ovv39DkGKpxWoJQOmoMDWddjVKrgobQXEQmzxhc5nlPVyDUGqlANFQQf3TMHenDiYJ+jmR2obQHs9QfzhnwMAdJD9iKIEFe2oVv2PDa+CBAAJKYGRykjddiMVT9X/bEVHV6oFM9cYghlsDFJtiQ5GjgBgUWIRxtVxjKlz4FnI7l2Od83pQN1+bIZnrrSKAZlxlqLp5fkll1yCo0ePTrpde3uLZSLMcnB09ZaJ1z44MzOoIE3mY0hQBanCx2HoTEFy0/xNToap+c3lwRXnTIfZjJFRQHePrdkgvDSR0fdAXwe2ZD+PUtlPKEolHluyn8eBwSUQeAG3b7i97mfPVDVxM5/H0ILzsP3iv8SPH9qPX3z7IHavuwXbL/5L7H/m2Il9WLDNCMMMhdia9eDkR8ZdgpQhC0OTPiS87UaYUtAR7YBMew4GfUgAUCkFEg8G957YwKcQzBOUivjJTk86QlL81/Y6yp5h04ylCLmPNUPx/U2QILGfwXYjAFBSXf9SS2bfeqG7BMmybPS9No7Xnx1AX3k1LJv3qSts7uI5Hj1x0qJlTilIUswfZqzTj81bE8kstm6PyRNB0wrS5z73Odx44404evQolixZcirHFMID25IBHkjGrJr3ZjLENpmPIUkVJCGSchUkS0Ok3VWEVNWGV7wOPlTyah7wl2CZVhj9x32/11OQJjL6XrOmB0++diF9NRhK4ABYeOrYO7HcsrFp6Sbcf+X9uP3J26GabpZQd6wbt224bdrrIO1/9jj2nP2HNa+rSgZbHzkIPh7HyvO7mvuwYKNahhnKYmvWg5OxNAyysBElSBb1YViFPNBN9p8R+YySQUyKQVO1uuEljSpIqi1B4XRgaC9gWQA/M2HkzWt7sacvh3/81QEAwE2XLcOfXOfJJquMw7QFWBx5TCQyIpAFdC4CM5eDkCYqAiNCLOs2IRG5u1injU7FE2Jr2fptDFQhOlBchye/sB2lLLsvfwtxfiMuf13HyvPJK94wY1uEKKNzgyBNEh73ECSv2m4V5pmC9Oabb2Lz5s3YvHkz9u6duZXPfINpEBKUiNYSpEyMrFZngiBNVtuEeZDSbR2OB4k3dUROX+0YtTV/tnDNinOmFSQ9UEI/qCBNZvT9760HUNISqCVHDDyKegb9b2QBAJuWbsK5C8513v3SZV/Clt/ZMu3kyLJsPP0Y9RME65vQ35/63huwmu2dZTSYZGcoxNZsXZ6lUdtRkBI2yTJ0FSSiBlm25WRcZpRM3VpIDFqVEIbX7UXQIZI+fNnDU7VbJ4VcxVV0OhKK3xNUGYdhu2pRPE323RCi0I65KiIjg0EFqV6IreQhSC2vIGklHKhejC37f8tDjghKVju2/KoHB3YTUsCOgZcgzYlikY2ycD392BiMITeJxJxvIbY/+IM/wPe//33s27cP5557Lq644gr8xV/8BX7yk5+gr2/6y+TPBximBZ0SpKhSW1PDqyAFs2ZONSarbcJCbLxHQRIsDcrpp7s+JDVg9gyG2GY41V8/7u8w7s3gaqbY3veeau7hV8q7k683Vbg73j0j1cT738iiXLIbF38DUBxXHWI3Kbxp/l44IbbpXWk3W5fHLhbdENsr/wwAMDlyPsw9jwEAClrBqSLNFCSgPkEyquT6KdgxHOapCj80s4vNcU8NtZpyIdUsdJuWGrEMRFKUHIoR6MfcOZ8tbJhyNFGIza8gzWz9tslgVUt4Mv/7Dd4lcxdbKLD7NipF0R4hNpO5oSA1qOMWyGKzKhVYngKq1hwJsTVNkL75zW/ic5/7HK655hp0dnbiySefxBe/+EXceOONOO2009Dd3Y3NmzfjT/7kT07leOcVhosqCbEBEMVagsTS/E3LRlGd/qJkzMeQUGp9DP9jDXWVK0nHg8RbOpTTV0Nkqf6a//JjEyrLXJt5BYkSJBoC8WZwNWP0PVZp7gEQT7mrdO+DdajcXJ+jqYaXsE3FdpOatGcgzZ9du0EK6PXgWIdfdAkST9QAk6ehtl8+AOz9kZPBFpfikATJVZDqhNhMlSgqZSh4HUvJi4OvTO2OnSC8BKlG0amMQ6MESTCriKQI8TGECHSPgsT6sDFy2EhB0gwLmukq4TNZv60Z9B8DStYCNFaAOWeh4AuxKTTENheqaU+mIFGC5PRao4squ1KBrbf2+W0GTROk97///bj33nuxZcsW9Pf3o7+/Hz/72c/wpS99Ce9973vR1taGbdu24d577z2V451X6M9VHYJUqbMijUgCZJGcwpmK529e24vfu2ix8/tDH74AT932DixL0IlQ8ShIpgZl1WoIdLVVKfvVEbYK64ySdPaZJkhGPyFI8mmnAfArSM0YfY+JFmLCOIDa8CiBhQQ/jN4Vboqid9U9UfHIUwkvYZuK7dw6SMFJNkN+TnOIjeHtp3c6al9SEfHtP7zYrctjmTBef8olSAIjSDJsAKbGAVtuR7ZCXs8oGQBEQQDqK0iWSl6rQsFek94zM02QSu68ka965hDLAipZpwaSYGpQ2oh/0BCj0I8ecTZ1TNoizWKjNb6CJNGrHgEzV7+tWZSKzVWuL+VVXzXxueVBaqAgBQkS9R9JvW5NK7NYG2KdbThpdyBTjG6//XZ85zvfwauvvopCoYDt27dP5fjmNQZyVcBqnBUDzGwmG0PFUxn3TFbbhLUKUVI+BUlsy0ASyMRTqcZJITIKNtGygnutEmJTVq8C4FeQmjH62hxwyYLvYaIV6MbUv4M3PdkwnvM8WJoZgtS7OoOoqJF+enVhI9GmoHd1prkPdEzajbLYZuZBMuRRwEzbxiUrO1wPzuHt0CsWbBpSYwoSOB4WL8LSOSDfh+zRpwG4BGkiBcmmpt+yreAlvUUIki/E5lGh1TwAG7pFrnPRVKG0k4eiKUageQhSsx6ksu5XuVvdpB0Xm/PRxFNK3RDb3PYg+f2DDkFauNApf2HNZ4JUD9FoFG9729um8iPnNY5nKx4FqVJ3m1ZoWOtdGTqhPtqoFpEUjCp5TTA1cLEYZIVcdlU14U+VpeSgN0EJ0oyH2IhJW165EoBfQWrW6HtGdAc2Z/4a8ZRfLYulZWzO/H9YGdkBaGS/bdv2PVhnKsTG8xzOTeynvwVIEiVNG9+3uqb1TUMYDSZZFmLTy4Ax/X6UwbyrApY10286Lw5CtciDnrMNRHn3WrR4BSYND2eLJNPRIUh0pV33fqUPmzIU7LOIKomxAzX1wKYTDUNslLRqXAYADbEtIOfLEKLQ+2o9SN46SN7Xne1UvyLT6ibt3tQxxPkR1NwDDtyFQr0stpyac/xpMwXbNFF6ZidyP/kpSs/shG2eYD/HRp0AAgoSy2ATuzrBJ2jV/ZAghTiVGPCE2OqtSAHXhzSTk423tkmBkiFUmYKUhE6le97SIcTjUGj2XUVPuOoC3H1kCtJMNqy1VBXm6CgAoG8BIQLF3IjTMNZr9K2XwA8Qoy+nV7AysgMfvmMFpIh7u139kbOwMk3VA7rfmqXBtN0JbKYIEgD0am9i7SsPISL5J3hFHcdlKwZrUvxNy8SzA8/iZ2/+DM8OPOtvrNvIpK2k4RytGQizDRUCmUmaR+FIdDsESUYZPGeBB7mOTUEmITYAWYH479IKeWBMpCDxhhtiG0YaVrSDNHQefnUK96p5VDTT1xfNF2KjBEkFUUMEU0Wkg4XYItCODziJIcE0f0dBCqT5z7YQG6+XcHnq3xq8S44bWyj4stioB8m0zRmdw/Jbt2L/1Ztw5CMfwfHPfhZHPvIR7L96E/Jbtzb/IZOl+at5Eo6mGWxiZxeEBKnNEmzJMxsREqQWRn/eDbFNpiDNpFztrY5bVOk4mIKkJGHQiVfgTHCyDIVWz1WNmEMOLNtyVmGsIvFMhthYixFV4vClQw8BAIZGDuPa/7wW2w5vA+AafTuTfi+OY/Rd0wXQmka8EoeXM+RHqu6kQx8kwYfqTBIkM5tF18iLuHSdqzB0K+O4dMefY6HsH9e2w9tw7X9ei5sevQm3PXkbbnr0Jt9xaijT8zwQoXWxZiDMFiRI3jYYWHopNI6MTaY1vSSOkHlTkGHpPJBahGyMPCiYajBRmj/z3pVtBQCHavuZ5A1PmM1XkPC18eZLKZwExgNZZPl6ChLI/okwIMdpJWWOh2m4xly2r5MqSJo/xNbqJm1oZayM7MDmq4chSv5HZYIfxeaVP3AWCk6ITYxCEiQkJUISZqqadn7rVvR9+hZfqyQAMAYH0ffpW5onSdokChIAVHNOiE3s6gKfJPseKkghTikGclXY9sQepHR05mohMdRVkByClIJB3xdFsuqOZMgEqppuP7aq4Sm02AIhth0v/AQAMJyyUaXPhYhGSMutj9/qI0nf+aOLnb9LRUTX6OsJndhCBKZntZ4bKrstDOgkFHygjFRHYFjTn50IAGaWHHuVd1eOsgxwsH1erG2Ht+HWx2+tMZT7jpPRwIMEzGgmW9Bo78sE5QWoIlFPFNq0VeIIoTJ5mYTYNt+LrEYUAkdBkuorSKphQrLp31PjdylzBnmTVtQ+sHsID39hO374d7vx2L/txQ//bjce/sJ2p9bOVGOsRAgS813lq4ZbLoQqeqpNSKLIW5AUARxVTgwx6qT6N6qkXeNBogQpIrHEktZO82cLl5VnCFh0Zpvz8oUXW/hQ5x9jZcJtHeSE2Oj5b2TUnqjq/lTBNk0M3n1PfQ8hfW3w7nuaC7c1MmmLsvtagCAJCTK/zwWC1HQl7Xe84x2nchw1+OhHP4oPf/jD0/qdrYb+bAXgiDrRyh4k78rbJUieEBtVgkSF+HAiC9LAAY30Y6P75U3x74r5KxRPN0zLxJZnHsGHAIwmOYcgRTXAhg0OHO7beR+uWnIVBF4IhCkMlDQDqYjkI0is4SdDdqhS0/SSTbJtShvyWh6mbWKkMuK0LphOsEa1FSsC0JpWJk+uNebFMi0T9+68t27/ON9xsnohALVZbEBNJpttmig/9zyM4WGInZ2IXXjBKWt6ORwoU1AOeGR0kzZp5cn+io6CpMCMLwfW3IDc448DqGPSDixoClUDMZDvk6NxQAWyydPRCQCDe3Bg9xC2/Ettb7ZSVsWWf9mDzR9b23zl8ibBVOfFbVEcHi3DtGyUNJOU7aAKkk7DjKJAmvPKggrVjMIQI9D7jgHrz6/JYovLjQgSOb4L01G8OVJCrqLDsuzmvWynAKZlY+fBMQwVquhKRrBhebtr1Pf0YjM8c5wUkcFzlq8XW1kvg7Ns9L42ilz/T3HeMRFHk7aPIE1UdX/zWjf7662i/NzzNcqRD7YNY2AA5eeeR/xtGyb+sEbqL0BUJL1cqyBRgjQXQmxNE6TH6UQwHeA4DldeeeW0fV8rwrRsDBZUcAnm16lPkFwP0sytxspBk7ZlOqsvRNIwNJLxItF6SdHudgAD0BGDrZbAwV+qnz1sclrO1zV9urBraBfkYULwRtJAhSlIOsDZNmwOGCgPYNfQLlzUc5GzMmY4MlrG2kVp3+rL0P1entxQGVhCFST6gGGqQ0JOQBZkDJYHMVQemhmClM3SMblThAlGkMg4dw3tmrAUgQ2bHCdexkVAbR0kwJfJlt+6FYN33+Ob3MWeHnR/4Q6krrnmrexOXQRDbF4FydZ16DYl9A5BIttbggxLI/cjewAy30kjBSlX0REDeTBylEAMx1ZhNQBrYC+e3PfGhGN96ntvYPl5nVNKJsaogtOTiqA/W4VmWshXdB9B0iyyPxK9DByCJEShHzsGy7acxVuw1UjwGDAC2puJ4M2REiwbKLLFxAxgUsLCxi/HoFfdOS5foAfDs3+dOw/gn75pYkHhP3Ec/4kPAXhXEihxTwEf3eRU3Q8uJVjVfaf/3RTAqUk0Fds1MmkDhCAV+oFq1iFI+/gBWMgiCcDIz5z/aqrQNEG68847T+U4anDFFVdM6/e1GkaKKkzLhmzPBgXJfbAUq4YbXgMAJQnTsABwEBhB6ukAMABdiMIYGoK0wm/0TMnUDGoZqBgVZ+KdLgyXh7EgT6aykZSrIAGAogFVxd0O8LdPAIBDoyVKkNzVlx7YJjdSgbUiQWLcmp8gsUwYRpCmG7auOypRueI+kE2iAznvsf2fDMMWnWTrKUg0xJZ/8jn0/dPPasICzDOBv39gyklSMMTmDRWbxSIMqgbJQiDEJijO6pgVimQhtqhYvw5SvqIjwhFCwlHlcEhZBoBDf7arppVFEKwg4aIz2ibc7kTAQlxtMRmpqIiRooZcRcfCTNQJeWomudiZB0cWdUCjqf7HjvlIUL1mtZZtOYVf2TyRicmISDyquoVcWZ8RgtQUYWGLPDkB3WsjYM99GhrPb92Kq77yXM13tBeAjnu/i2zvpbhrl9Cw6j4H4K4f78U71/T4W72cJMTOzqnbjs1hzA7gBVV/zfEhJ+x+8+4v4H3jFt4D4Du7/h1rDq+e9lZJU4mWJUjzHWxVk4nEUcEEdZBiM2/S9qbvFqq6S5AEGRAVGHRukehEqCRYy4Io9L7jkOAnB1ExComXoFs6cmpu2glSZ6wTOToJjqYATQQsDuBtEmZjBKkzRiaYcqCK+eFReq68ChLtR6fEROiaCcuwUbQXIAXUhNjiUhwd0Q4AM1Ms0vSs/IoF99w6BIlOhmz/J0OnQT+j7io0A9sCBh/5VWPPBMdh8O57kLz66ikNtw3SENuChIKRouozEVuFglMkUuEZQaIhNl6CVSjAtiyHIAXT/GsIUtVABw2x8fRhkzMloGMlSseaIz1NVy5vEsyD1BaXkYpKGClqrnGaEiSdJolICiNI5BiRatp9zsJG4AQoArkxmIJkg7TgcAgTXSTEZQHpqISqriJX0THdrc8naxPECMu1AlG3Icehe8zWhZxF3Lt6CbZhEL8ParNZefp5fX/5JQxe9lmAq2/5tUHm+50Hx3DJyo63uHdA7MILIPb0wBgcrH9PcRzE7m7ELrxg8g+bLMQG4MnXf4NuAGUZqCocKnR+tItl3Pr4rbj/yvtnLUkKTdotioEcuTAXxElGQCMFKTXDCpJl2b4stoJq+AzaAMC8gCIdqxIjvNwQo9D7CQHwmhw5jnNW5DORyba+az26i+RBPJICwHE+ozYHDj2xHqzvWg+gjoI0Qr0JnsmFeRgkRUB6AZlscno33c5v0o5KUceHNRMKEvMf8amUT9kwLNpyhSpI67vWozvW3fBznOPEro8GIbbysAwjW38BAMDnmZgqVHXTuWeWLyCkxkv0zRqCxDkhNlNQANuGWSg4BKkmi02vVZCilCAJCvXoqAbQtQZxvrkMvqYrlzcJtqhqi0mOipNnHkLmQTLJ63KE3LOyRAmSSEJs3jYjLBSuCApEjmzvTfVnClJMFpGZILnkVGfyNdMmqD9XhaXS+1iKQfcuAsd1wjtsC+WdO2AMDExYD40fGcLZI29OOq5mqvM3A04Q0P2FOxq8SUba/YU7mltsNDJpA0AkDRPAdw/8BgAwThsClBXyHTGVnLf7dt7nL/sxixASpBbF8Sy5WboShGQ0rIM0w2n+XnIEsBCba9C2LRumRW4YOUYmeDbZGkIE+gBNFQ5U403LlCDNgFGb53iHII0mydiZDylK69/ctuE2p5Esm/iZPO4qSLUESZQFpLvIZJOr0tViQEGKiTGHIM2IgkT9R3ZbJ9SyJ+xETzUjSAIv4PYNt9f9DA6e48RqXTUIsRnV5lShZr0VzWCY+o9kkSchJfhDxVax5BIkUQfalrkeJBoiK40POVmGwSy24IImX9UR5eoQpO616JX3Ia5MQBCBE6tc3iSYgtROFSTAQ1gckzZ5XaJKtSyRh54pRqAPDKBcIYshdt8CxEPKjNrezEzmVYzJAtINlO/pyORrhojwsCCYZDtbivs8SIZuo2KR8230H6v790G0q5Mblpupzt8sUtdcg0UPPFDzutjdjUUnEq6eSEGKZrArogB0MT9O58oy5fEx1eNDHNp1orvQEggJUotigFb57UkSgjSZB+lU1RSZsAAgArVjQLPYvFW0DdecLMXJBCBHCUGyBBnVQTIRe8kB4D5wZoIgWfk8+Ap5mFU7yLKIEaSFfFuNZMyUh1WdZNtDo0xBcldfOg2xiTKPdCeZbLLVDHk/4EGKS/GZVZBoir+e8ZtGWaTMm+a/aekmvGvZu2o+ozvW7R4nnWV/RWpTnCMZiJHmVpfNeiuaATNodyYUxKk3zmvStoqugiS3dwJK0vEgWTGi6mZHSJq7IiiO96iRgkRM2uTvpSi5TopVA+g+Gzxn4fLeH0043hOqXN4kWB2kTEyunUdYCwmLKke0uKss0zR/KQaYJsrHjwJwM9gY2O/eTDZm0o7REBsAZD3JJSyTL+jHYpl8U0WSmiEizFAPABYfc1QsKULIfAGkVpuYqePNqQOuo2PSqvsblrc39VnNInbBet/vS776L1j1i20n5uWbxKQ9LAhoo6fYVZDIz6jqKn/N+hVbDU17kEJML5gEvDCdBrJA1azCtExHtWDI0ImroBowTAuiMHWcd9vhbbh3570+FaM71o3bN9zuEIRgBldRNZzy895GtUAtQQKA8gjZz2A13hQNz81EiE2nTWqFtjbccPZv4+uvfB1V6iP9s3M/i4WBeDoz965ZmMJrgwUMFVSUNQOxeiE2WUCmi4bYynRGoQTJOQZizAldzWSITUuRMcgRAVrVhKGTCc/bcgVwjcoA0K6042+u/Bus71rvXquU3H/o4ZewveBmqPWmI/jn822s69QgJgQYJeuteyaaxDBVEbpSCsnaQsCkXSg4Jm2lcyFgx500fztCCc4YuS+Y/wiYQEGqGIiCkAE5mgCQpQoSqca+Uv8hrtjwO3j6N1VotMggACh6DhdvTEx5ij/gqjftcQkpquo61bSpgmTYlCCxe5eGT2xaLVk7SgmSFCBIchwoBRQknREksaaHpGXZePK705PJx9oEDeSqdX1IHIBlKQAaAI6HZrpzbntvHIMH8yhwi9GNfYitWQGxqwv60FBdAmQDkHp68D9vuh5PfPvFut8FkKr7U2HQ9kI/5le3lFWrTtzD16iSNgBE0ug0TbQXyVEcCxCkmIfnNutXbDXMmIL085//HH/6p3+KW2+9FV/+8pdx7FhzUuV8AfMgnZZxDZxVs1YaZhMb4PEPTAGaKgCI2v5KxYAHiZmTOUuHQHv08DwHkScTYyVLfnpN2sDMhtgYQZJ6e51WAVX6YOgfPVizPTP39qYjjmn+8Gi5rklblHk3xFakqzK6HXuoxqW4jyDZDZvGvjU0KlrHQmxqbAEAINNNxmtZgMXxsKtV2NR5b1gGXhz2TPwccFHPRT4ib6hkv44W/fsxkKvir389BI4Hui9vkMl0op6JJsEUpO5kBDGZfK7XS2YVim6IrXcZIMVcBUlxQ2xAgCDR65ctaBgKlSoUjlzrClOQVAPILAOkOPKHOAh/fQvOefGffeO86JkvQfjrT59Ye4gmwUJsmVjjEJujIKX8BMmKkv00+kgvumAiRb1q2iyZIa64ClKOkrT+N7JNZ/K9VTTTJujzV9FmwnICukruXUHikaL+wbxFFCTOqkI67TRwqO3YxrTz7jvuwObzFuPBD65HB6tGTuFU3Z/COkgMmqdfHuDe1yeECU3aGayvqugtkqM2nmAhNuZBqvVrzjacUoL0f/7P/8HPfvYz32ujo6PYuHEj3vOe9+Duu+/GAw88gFtuuQWnn346vva1r53K4cwqMA/S4kzK8XPU8yGJAo8kXQFPVWXayQoAAq7xrhLo0E2y2FwPElNOBFMHH3MnUYWaPaslG7ZhOGZPx4M0gyE2RpDEhb0YV8mDgilIg8OHarZnoYO4ImJpBxn/4dFSYw8SDbHligosm69VkCTXg1QxKijoU19wbcuefmy875d4/0M78OnvvID3P7QDG+/7Jbbs6YeZywIAVDkDwCVIAGDxZIK3KmTfXht7DWWj7FyjwWrgpmmBN2m19ECxTBtAzibHK7mwiEV//wC4mP9Be8KeiSYxRDPCGilIVj7nhtgWnQ7IcY8HibxeGR8BUF9BAvwqklpyz6FCEy+KVQPgedidZ2FwF7neddlVjwBAoyUvmq58fAJg80W7L8RmkOuWVj83aJBBSdG+dBFynk1KEtFPSGKNglSnmjYLx0dlsaaHZLMZelOVycfaBHWn/eG2rpSCBz+4Hm9fRvdHjjsGbTkiINVBti9a5P7M/+o3qDz3HCwA+YDIMpYE/va3eeCqi53v/PvfW+e8f+HSNrfq/ikAq3TOcHIEyTWq1yCShgDg7AKhEcyDxLLYovRx5PVrzjacUoL0la98Bc89568P8aEPfQjbt2/HZZddhn/7t3/Df//3f+OOO4jj/mMf+1jN9vMRlmU7ncYXZqITdwjH1GeyeQsAcpaNNYctXPaKhTWHLXCW7TPeMQWJKVk+D5KSdAok8pYGPu5OorJCiJbBR2EMDroKkjTzHiSjn4SBpJ5eZKkXQ6ZesJGxWqWz5GTnCFjWQcZ/yKcgRT0KkoBEewS8yMGyOBTNjhqTdlSMIiJGnHpQQ6WpDbOxGjDBTB5WA+bQQUIQqwJRAVKdUSbkwKQGYxZme36QZJad23kuAEA1VV97lGcPDICnpFqFnyABLkGyK1mk3vlOxC+91Hkv9Z73nLhnokkwo25X0vUg+UJsw0ddgtSzApDjbpo/XU1rWZL6nWHVwAHIvAyBo+Z9T6q/WiXHywaHeNRj0gZQLvXCqJC/YYTI+Tslc0qy+FTDdBSztpjsZLHlKrrb9oUTYHDUnJ2iNaHofW6K5CnI0ySLIEGqqyDR+yTu9SBRBanZDL2pzOTbvLYXW295u++1f3j/+YSwaC4xYARJUgQkKUHKGwtgVHkM/MM3AAD/fQmHP/qkAI5Wke750l/hs59KYOcZvK+adtXjyawa5pSH1bwIhtimXkEic3QiT46PvSADwB9iu/+Kv521Kf7ANIfYXnrpJWzZsgXvfve78cQTT+B//+//jeuvvx5f+tKXsHXrVpimiQfqOO/nG0ZKKgzLBs+RCbxR8TkGpxbSFBEkZqjb8JqFf/pnE1/8loVP/8jCF79Fft/wmuVsxya9bqcBrQWzQhWkiBtiE6yAgiRTgiRGoB3rcw3K4sxnsXlDbE6dG2pYzo3XlvAvO/VdGilIMadQpCjz4HnOTfU3FzpEKpjJdyoy2SarAQMA+14jE2sF5Hwl2yJOmxg7Th7gQYJ0+aLLnc/xPhRHs+75q9YhSFmQBwpvaYBecSryAgAny6eszQirgdTlDbF5wsX60HFYvKdul1dBovV+9DzZN6+CxHFcXaO2XiFKiilGEadkhBEyg3P9RXUJEsVUZvExYiLwHJIREamox4NEw2tmpAM2JXtyGzlPDkGix0CiSRZsnxkcBcmT5l9yFCQB6Zg/zb93dQbxhAU3MBWEhUTCmvJMPsdzRXFkjN6znjYj9QhSQW/DwPNpmLkihFXL8R8befCCCLGdWCKU5cvRFiNZql6CVPZk/faN11/wThX0Pj9BMk6UIFmWoySaQrQ2HB/NwLZBvIMAvnjdl7Ewtwo9xfUYz6wGZ3O4asGlE31Dy2NaCdL27dvBcRzuvPPOmvYRGzduxDXXXIMnn3xyOofUkhjIsdVtBKLAO5PPdGWydcY6seE1C//3vyx0BKI77QXg//6XhQ2vWeiMdTrkoMuzsjPKWfIfJQmDTgi8GVSQ6LZiFHpfX02zx0Z1kKaj2aM+wAhSj0OQuhacBgCo5Md9jXUB90EXUzwK0ki5YYgNgONDypq9dU3aAE6JUbuZGjAiDQdVaA2cRJvijNshSOUybNvG7iHSsPNtvW+DRAmFlxh004WnaXPQ6uSElBCBYdNpqDIOg5JTYGoJQRBOFps3xOZJOFDHs/R/NmRFoB4kViiSFjqlZnZ2rTJEpdoFjUEJki1Gne8rsCbOy892tqslSK4HcSqz+Bz/UVQihN07h7AUf8mtcRVpJ+Ni2Ww67REZGSLHoBkFqeJZSLhZbGTO4mHh8uS/Ag3dPBw2Jv8NfEMCdXIIlhk47GSg1idIqQ7qQaqkkD8aBQQe4p/dCkMkxFigSrNVKDjtZ8aqbpHJiucaGy/rNUku5I9N4OCTwMvfJz9PsoaQRkNs8rJlAE5CQfI8bzb9w86acPwTRzRYOgfb5DC04Dxs+VoeN+z9JK48+FHsXncLtl/8lzjw7PGTGnurYFoJ0vg4ufHWrFlT9/21a9dicPDU13255557cNFFFyGZTKKrqwu/9Vu/hddee+2Uf2+zYP6jHhofdxSkRrWQpria9vkd5+H3iQe7YXXY3/8Fh/M7znNWhUlFclbijoKkNFaQmNnTZAXnWJFEuq9OFptHQZrIN3NSaDARGcfJ5/E93c73t7cvIrukWTiQPeD7GEdBqvEg1Zq0JZnccmmWyWa4BCnY06o7Th5QU6kgNVMDJklbKJRpfaJ4m+KM26Yp7laphIO5gxhXxxERIji742xfiwmG83vJg5SoR7XhBA4c8hytvFwcgT4yivHMagx0XYDBnDLlRQIZhj0htphcG2KrFsn7Mm+A4zlATriFIikRRJHsZ5uHxAD1U/0Neo5tKYYkVWGKNKki9o4bIEZNALZDkETq3VGVNMni6+mZ0iw+luLfRk3DTqHIiu6k+GsSIWS8qUFMBwgS9ZNFshVIut2UB4kR0LgiOFlszqLu8HastH+OzZm/hsT5F4IJfhSbM3+NlfbPgMPb3+Ke+zEe8G0eYjXMvAoSPU+SIiDRTq5nAwoMMY4F11+E6ipi2I5KUfBJcn+Y+YJTPNSnIAXKorC53sHeHwEPrAW+/h7gP3+f/HxgLXn9BGCbpqOER9auJWM6UYLk6f95KO8npgO5Kj71gzdhVAQMLTgPe87+Q1QD26hKBo999+iU1rCabpxyguRVihYtIg8ZVa1vtFNVFZHI1BXLaoQnnngCH//4x7Fjxw489thjMAwD11xzDUqB9OWZAstg66UEaTIP0lT3Y1N3vYC2vNWwbgcPoC1nQt31grMiismCszK26qT51yhIEXLpGUIUet8xX5sNwF2VsyyyyXwzJ0ySGkxE9ss/hE5JerUj4ZjSoylSoySqAfvG9vk+ypn4ZdFRkI7nqjA1rwfJryBlWCZbQEHiLBvJPYeR+8lPcfpBDZxlT6mC5K0Bw8PCxfxe3MBvx8X8Xmd1ntTLMAQFGr2ckm0RZ9wWzcCySiU8P0TCa+d0ngNJkFyCZLj3ESu2Vy+8xq4vJUGO7Ru/OYbtb/sL7F53C/auuQk72//HlBcJBADDtDBKFZSuZMRj0qYPL9OARmu4SDIdpexmsbGWK1yRnN+gghRsN2LbNmxalZmTY47nqaKbMC0bXLIT3RuZB4k8YJMFkj7PFKSpzuIbL7lVtAHXx5ivGo6CpNrkuwVThUC9NSzdX7NkZ8HTma/NYqtHluuZtJ3EkiK551ZGdmCV8pTzN6fJz+FDnX+MlZEdvu2mCuONFKQ6ITaulEfp0Z9Dob0Fzc4UFly71l3YiDEISXp/FD0ESW1MkPqynjl974+A730YyAdUl3w/ef0ESJIxOAjoOiBJUE4/nYz3BAmSSa/Zii3DDlAFG0ABMVQrIt5Y9d76H8ARNfCp771xyhY6pxqnvA7S3/3d3znZaYwYvfLKK7j88strtj106BC6uxu3LpgqbNmyxff71772NXR1deH555/H29/+9gZ/NX3ozzdQkBp4kNK0bP9UKUgn0g26xHpQKQKSEZGELrwm7WIDD1KUTPaGGIHWd7jWpC27IbZmeyc13eyRTUTBT8z3w/jGTYDZDQgCckkyKSTlJKQIWUFHNODVsVd9f+YtgNcel5FURBRUA+VSAUnAb9KWWIiNFos03K7hp780htt/akIu/BWOA1gP4J+SwLP/cw9wyeS71QxYDZjzCr/Gn0sPYyHnyv/H7Xb8hf5hpPWK432RIgLkqOiG2GgNIKtcdvxHF3QTZYOdO18mG314yJE4EFgX9dDO6fGnF+DASA8e+2UEUPwLJFYkcPPH1k5ZLaCRogbbJv6bjrhMMi/hUZBGXoNmUYM2JQ6QYk4dJMMmx0IskR3yepAAj4JE71fVsCBa5G95OY644hKdomogHZWQetvZQPlJ7LDIZ6UKRzDefhbU+IJTksU37mlUC7iLrKJqwCyNQQBQpWMRLA2cRM3a8SiAKnQrAnHxYmivv46ubK2ClJD9ITbdtKBRg3JcFgC4pRV004KUcOd9zU44/zfsKHjOo0wkpvb5kKPHYUVnHG8Ol3BwpATbtsE5Ju04Ci/vAyBA2/kbHH/4G1DO/79Q0yvALU6As6vO3BUVo+BpiM0sFNEeIcTfG2ILhtSOM4JkmcCW21AbXgScWW7L7cCZ1wFNZIRp1KAtLex1fFEsJNwsXj40gHUAKnUWNwBggcfh6nlQIxP1EuROSaPl6cIpVZBOO+00pNNpsoKybciyjNNOOw1PPPFEzba5XA6/+MUvsH799NdLyOVYGKV+JVNVVZHP533/TiUGnCKR/uq8FX16FKQT6QZd9qgnCSrTc95K2kxBCmaxRT392OqYtNlDRzVVPLW/v6neSTsPjjXcxsEkE5FeJpOP1N2NvEHCA21Km0PuIhpJbffCDR2I4DgOS2lvL7VMwwtSzKMg0RAbTfXPm92w1Aryj27FH34nW9fztfmhl6esDo7Ac/jn9cfwz9ID6IH/ePVgDP8kPICoXnUIUqKNEBbWrNSOuFlsuwZJ+wBW44SdO18omFbRtkU/8fny/1znpDhbkXY8mf998gZXn+BO5SqUhRk7Ewp4nnOz2DSD1Jw6/gI0ml2nsKKmcsJVkGjrHImRjMADwlF86f2a91TR5pUYFFGALJLj6VTv7j4bqSVVGLEMACBZOAIA0Nt6T0kW33jJT5CSnnpqWpFcF5pJiIoId14hBImAW7QMANCVnTzN36ucRGUByYjknOpcRQeWXgqkSKiq6iFIWZOlwHNAahHZbgrBFKTzFmcAkCzcbFl3FKT8q3mM/eRRAERJA4AIJTyD/YuRf/YNn3/SUZAKeYcgTRxio3P64e21ypEPNpDvazrEyFL85UWLIWTIvp2ogpSlSQgVNM4czOkLmvqsqW60PF04pQTp0KFDOHjwYM2/P/3TP63Z9vjx4/j85z+Pm2+++VQOqQa2bePWW2/Fxo0bsZbGaoO45557kE6nnX9Llpza/tOMDDSrILk1RaamDhLrBt0QHk9E2ZOZwuoxCbqrIOllunI29QBBImM2RJLmz9Kg2cMlLsWddOkjueYUraaaPU4yERllckuIbTFnYstEMs7YI5qN18Zfg2WTVa1t247yEKcqC/Mh6XSfIEY8rUbINsm2CASRgwUJeWMBBu/+EoD6ni9gCuvgWCbOf+VecBwQFNt4DrB0Mr6qQib3RJviGzerAZQd60d/qR8CJ+C8zvMA1A+rMB9DyfIXgjy9J+moff3V1ShZC1DPo8QwVUUCAX8NJAAOQbJsoKpbwPHd0DhaRTtOxy3HHA8SrZGJSIWcj5oQW0BB8vZh4+gxqqm91H02DFuGRo3xjCCpFcvJgJxKMGKQofsnCbzjITRKjCCRcy3C/X4hGgPPCFMvmQe7cnZNq5GgSZsZtEWegyzwJHvOqd+mE1Vk830AANVyP6tstTtqHjbf25R6ciJgSlp3KuJYGg6NlgCtBNsCBv97n5Ox5xAklRyfaqQDg//1Iiqq6590FaT6HqSKpx8d4AmxNRs6bHI7luIvLT55grRAJmMN1i/zgq+WGr7nxVQ3Wp4utEwvtrPOOgt33nnntIe4PvGJT+Cll17Ct7/97Ybb3HHHHcjlcs6/o7S8/qlC/wx7kE6kG7Q3xZ2tQkX2gFRS0KnZVbA0cFF39alQc6gpRgDbRnSUrDTZQ5bjOOfBE1GaI35NNXucZIJxFKS2mNup3aMgxXQOFaOCI3n6ADMsMGEjRid85kNyPUiugiTR8ArHc0hRFWlodAmMwfqtCgBCG6asDg4liI2+y1LJO1qSqIgOQaKhQZM2aj0+TLqTn9V+lnN9ThRiyxv+aH7RU/W9ZHc0NfSpWoWyDLauJNm3mOQ+dEuaAbtvN3RGkBJ0YvfUQTIMUs8oViUnvibExjxIVEnLVXSnzQjo8XMy2aouQSqb5HrnLR0Rdcx5IJfGp371Pe4pEsnA5hGTEiRVJ/eTyLshLk6OQaYmaq6LKD5d2cYeJJbmz1TWqCw4vtRMINUfK64ABAWq5S+WmYucA7zvYWDNDSe7uw3BbAltMQlLnRpmJUAvoTwsw8hWaghStDoKgBAkI6eCf4mE3H0epHyhQYiN9m3sIts5qf7Nhg6b3I6l+PsJUv0QW6N+m2ctINdDIwWJA5DMHYJSHUd9RZ4UFo5mxCkvzzBdaBmCNBP45Cc/iR/96Ef41a9+hcWLFzfcTlEUpFIp379TBcuyMZgjN2LTWWyBomtTgeRVV8FWalcOwcrGLMQWU4hJW4Th+C2gJGFQVUvgbZ9hX46RfTOpItE2TsYe9XR8Z4UST+skZHFKmj1OMsHoJUqQehc6K7+0knYUpAR90L86TiZFb+ZTVPIrSKhr0nZvOWbUzuoLJx83pijtfRKCaGpkfFqMKkgZWu+GhtgsGiobHiWLBOY/AtyHok/ppCG2capMRaRAaAlAPNV4herFVK1CWRHWTkqoeZ5zayFVqrCOveL2YWOkW3LrIAGAxYuI6IBiCY5awhBUfPMVwwmxsYrEiWCD3I7VKIOQUkkrgAOgUHNvcZIWHCeDoAcJcDPZ7DJN8zfIe6LoefhJMcg82S8rQzxhXbk6HqQGClJcdomyu7Cj5PHF7wKmChXU78eRB3rumm+cEnIE+I/DMnrfHhopA1oJBs3irFGQqkxBIveINUIIU0yKgac96syim+Zfz6TNGlsfp4thN8Q4wSx3AiFG1mZEWrTQIUhWPl+jQm87vA3X/ue1uOnRm3Dbk7fhpkdvwrX/eS22Hd4GgVbAr+dBYqOMmAJW7/8P+luAJNk2YAOZq9Qpb7Q8XZiXBMm2bXziE5/Af/3Xf+GXv/wlli9fPtNDcjBW1qCZFjjOLb44WR2kqa6kDQDl53eBUzWn6khZArJ/c2tNZeOyRzJOREQk4BmjkoROJz8xoIyzbBhDIj+76OLGuxJlClJRy0/aO6npZo+TTER6mapgZ17oV5DiZFysfD7zITkhRklwvp9NtDzrnSfFnIriLFQFuD6kotTcqnBK6uBMQhBNjeyDGiWqTqKdqggsxEYrKOfGSdbg+m7XM1g3xEav2aIpQRI4rOklDz8vQepdwiPOj9RvVAsAsJFoU6ZsFRpUkAA3zKYP7INV0dw+bEmvguQSFfbQ7LVSNTXdgmn+JMTmXguAhyAxBUmUUY6fRb5TIx5HhV5/k/UoOxk4HqR4rYLE0e/VdBp+84p/UhQyR7PzkuT+bMaD5K0VxuBrN2LbwLP/CsvmoVnkmuuWSfPa7FATofM6sE0TpWd2IveTn6L0zM66IWon1BiT/CU6tBLECNm+liARQlSJdJBsriQ5QFExCj5Fy2AUir4QG+unyFozraQK0kCuSmq5eUKMtaDX1wmEGB0P0uLFENI0BGzbMD3+2Un7bQ4Tj2Fb2h9CBtweclzFQtfIizij6yiCc6qijkOv/iv2t+9uasytiBkhSIcOHcJPfvIT3HvvvTPx9fj4xz+ORx55BN/61reQTCYxMDCAgYEBVCqntrJpM2AG7c6EAkkgp+eUVNKepBhZ8fHHAQB7lpGLXjaB4TO7alKNnYlPFpGMSEhyblgJggSdjkkQ/TePnKDNLgWyb11ZGzIvO8UGAX+xSNY7qadB76Sm+xlNMhEZ5VoFyetBklQTsG0n1d9b24WBhdgkpqQ1UJBYsciy3AWk6vQ6orAAGJ2ZqamDQwmi3YAgmmrAg5Txe5DYw0IvEp+ZtwklIwb1PEhVyFjVlXQUC2+IjY9lkO78Rt3x2DYptJC6qjJlq1CnBpJHkWL+MWHgRZg65xIkx6QdA8fZEDhCLIwEIXrdll89AmrT/PP1QmyR2tpL5RhJx5a1PCCKDkEqjp8cQZgI457QEgOrpi0ygmTQe0HyHHcx4oTYdFqSJVEFolU/uY3L1Idn6dBMzbeQcr/Po3wfegoYeQ2q4C4CusT9AIDcUP15byLkt27F/qs34chHPoLjn/0sjnzkI9h/9aaaZIespx6Ur02QVkKsU4PYkYJBr3kxoCCZYhTIJHB8VYbsmxiDwOogeUzaqqk6i1t2HJYviEPgOeimjWFK2LHmBhJKjAQISbzzhEKMlqaRNH+QEBsnSeBpmQaTFkBtqt/m0UdhAigHPEif2bQaT932Dly7phtGgRy/vEbOd0UghLg7VcKlO/4ckfKLeHHoRcxWnFKCNDAwgG3btuGBBx7AH/zBH+Diiy9GKpXCypUrceONN+JP/uRPTuXXN8SDDz6IXC6HK6+8Er29vc6/7373uzMyHi9YVkOvhwg060HSDAtVvXaVVIMmipExgvTk2WRyFC0gl6utR+Od+JKKiCRTkBQyURisWnCAIClJSpB48iDqzNX6GILtRjav7cWTn7/Kt83f/u55J97scc0NwDv/ovb11ELoZgYASY9l3+v1IHGmBcl0FaSSk+LvLrM7kwqikoAIeyhKUcekLXkeEBlWLNLshUWzmoLTFStjcOij75iaOjgeglhPsGEhtipHQ4osi40SO1YkMaIBK9MrfX3IJjJpq5BxVm/SIQZeBcmMpPHg4v1I5fbXjIezxvHY6V/DP+fuc7wRbxWuguTeY0xBkoZehKXzLkGK0fNK900CISs6DaV0WrXENhgSz1cbh9gKXoIkkWrtspZH5PTTXQXpFHqQvAoSC7FJtHq9TsOikof8g+chC+QYlNQq8jQiLg36MyK9pu2SXvLME+59kvEq38/+KwBAPf195PMiAtokooJk+08sPT2/dSv6Pn0LjAF/WyBjcBB9n77FR5LcbL5aBYnjge4/+B81CpJg6ZCoyhe7uBcVi7wek2JOoUirUERUjEKhf8t8SCzUmFBE9NAIga8W0pobgHUf8O/QO/7khEKMxvHjgG2Di0bBZdrQ99o4hhZfivHMauhjZNHn7bdZDzZsDBgF7Ioo6KPJuKzf5uK2GASeI6Zv04Yqp9CfJWRwXw/JspMkERxsRFVg79jemu4DswVTUgdpfHwcr7zyCvbs2eP7xypne2F7ZuWgND1dsBtK+TOPgUANJGByD1JCEckFa9nIlnX0pCd4kE5QAwjf+zDwvoehRs+BdugQTIHDzjM4/PHPAMEGytmRmo/zTny+EButhE0IkuBTTgBATpDJyORkWJyArqxZI9PXa1irepo9AsDB0RI24iRCT5GAj+zKL8Da8AmYX70QAOnDNv6mR0Hy1HCKahxGKiMYqYygrJHj6F0ZcxyHpe1RRLPuQ9FQGytIOaMbGC+jJAOWLCJZ9FR0bo/jn66s4MxzM7j+xPeyPtbcgIeX/AV+98hfIe4tThRJw1x1PYyXfwMdbpsRMm4aYqPNS6Oa7fMfAR4Pkvc6pRNj1ZaxpjeFN0cIefISpF3qMPSyjFKC+ACH4ofRVVqK9tGXIeb+BW9uFIAymdQv6rnoLe8+y2LrTtWG2OIjLwcUJJbFRvZN5KqAnYIWJeeuw6hNDKjJYqvo6OX8BCkeDLEBKNOebLKWR+S8s6H8hjzgi2NT+3DRTcsxh/s8SFEJPCzItLyFbtByBhH/Y0IWCKkolcrIZ4BUBbCODwBnn+NsI/AComIUFaOCol4E5SG++8QxhWePA6/+BABQXfU7wOPjiMQkZFIAskBuuHll3zZNDN59T332b9sAx2Hw7nuQvPpqmOBIYUwQwzjzEI6XdZhqEQKA1BWXgN9rAAWXIAFA1MhDl1OwFiTdGm5iDALzIBUK4DgObZE2DJQGMF4dx+LkYt+CclEmir5sBcezFVyw1FMqIksSQBBJA9UccPwF4ATEY9ZiZGzVFfjGnzxNQrQ9NwI9wGvfzOLtwhCG0835GYcFAXlDQjIiYsPydmzbN+T0k2N9E0d6zwPAodw+ipE4+W7NJtdMWpdgWAb2ju71heNnC06YIO3evRsvvPCCjwgNBJg6UJ+ELF26FOeccw7OPfdcnHPOOTjnnHNqtpnvYCn+vWnXrOzzIFkmyUQqDhI/ydJLwfGkO/ZYSUOuoteEoRw0WYysmPksAKBvVRoVpYhKlEeibKE8XntTlT0hpmREdENsTEHSTBCC5CdtctzTu02MoitX9Bm0AU+7EU8/Nm9IAgD2DxVxUugPyL6xdhhDZP+4WAx8KuU2qlUy4AQBXCQCu1rFSnkRdqMPr469ipK6CoCrCDCs7FAg5mgpADFSU0kbIOErgdNhQkJVace/v3MM2hUX4P9+9hkAwKIv/z1+2HMcO3f/LdqnsJo2APxQvQDLrNNxhfAyBq0MuvkssOQSmPu7nBpIMi0S6R23wZHfIzpqJryJFKQKCEFi4QTveRy2DawcPh2mGIWo57Cv+2l0vbkUHHi0Fd1rlTVRfiuwLBsjxToKkixAhIFU7lUUdcExacu0oCkjNsyHVI2Sv23Taw2s9bPYGEEi1zjL+PT2f6uYKQBFyFoeyoo1iPyaKGqFkZO8xhuAJXNwnEtSAEKQkiiDo/ODYRAyL3nCcAAgi+Tvy8UKhjIcVvXbjufFi4SUQMWooKSXUNHI8fKatJk1YM3ADwHLAE67BGrkNADjUOIi0r0Z4BBQKQNqxXDDnROg/NzzNcqRD7btZIRWzz7PHUtUgijw6EoqGCqoMKuEIEGOwxRVACoEU8WCT3wcsYs24PAODfl9GgqVpKPskzR/Mu/Z5TJsw0CbQgkSNWp7F5QLM3UUJAAYP0R+nnk98MIjwPET8/Dox46R9h8d7wEC/rVyxcaWf9mDVe/LNPVZnaaJQSi4fPUCRKiRtMyaLFOCNNRJ2NvwwjehUWO3bpFtO8wIgDJeHH5xbhOkI0eO4LrrrsPevXt9r9cjQplMxiFAjBCtXbsWyWSyZtsQfgw4BMmjILHml8UBEgrz1vFJLQQ234dMNOUQpIZoshhZ8RkSanvljCiAIsyYDJSrULO1hRidG14SkVA8ChJVaJg5WQoQCF7gIXEV6HYUhhhFplRE2vYTpGCIDfArDwBwYPgk28Mcf4H8jC0AyiNAcRC6yZrU9oLjOMeDxLJR+HgcZrWKsyLLsNsgBKldX0Y+JkiQ2lylyOKizoLWRxQ5IKaNoiD1YHzVSjx59jiuiCYgtLfDHBuDfNpp6IqQ4zeV7UZs28aBoSKWcURif8i8Dn/KfxM48jTM8V6nvUW8zb0GWRabToskRlTg7ICC5KT5e1qNaNUSZBAP0lm9KTx/mGZmec5jZ2oJluTPBQDI5ZdQlGmrCyWNNs/p7Yy9dZP6WFmDYdngOGBBwiU3cUXEaq4PgqXBsjugOyE2Sg54nlbTJg+cikIIflqrnUKDSRX5qlsokilRNWn+AMq0BpesFSCIVcQzZHxTbdJm4bV0VPIlNqQiIjIcJWNyAroBgAPkmD97UJbImCtlDUPULsPq7ngRl+IYrgyjqBVRosfJqyBlojJEGLh4nIb2L/oDqJS8KTERcs8yRPlxVKw25IbK6Fo6efbwiXQBYD6sZESESP2eyzriGCqosH2tRgjRFUwVqXdfB2XFcqT2PwdAQ0FLoWy4WWysJQsAWMXaatre1kyL2sg1dtxLkGwb1thh9KtnoyT8D8TV3egd2AveUAGxuSxO7dixxu0/qPew/zEb3ef3YLBSn0xy4NDNK1hfVfEsFFx5ehdePJYF4M75xtAQqkoG44nVAIC+zr1QR8i+aFR9TNIw7QtDLzQ19lZD0x6kz33uc3jllVecqti2bSORSGD9+vXgeR4cx4HjOFx22WXYs2cPnnjiCfzjP/4jPvaxj+GSSy4JyVGTYDWQvCqQM+Hmjzbs03MNvxOAp7dRPTRRZMzUOJT3kOyRHSvo5E1vei2f9W1rWbZLkBwFKeBBMggzECO1DxKZJ2RQow1Qe/L+yzHYjw2oR5BOYnVt6sDgK+T/q2lGXmEAOm1SK/X0wLAM5KnPgPlsmFF7pULS8l8be81p1hsPKGQr0tSzAx666e6XN8RW2LYNSpZMUH0XnA5wpCO42EEmVWN0FN2xqW9YO1xUUalWsZgjD5OfmW9DETFAzcEa7kOVKkjJNndCZsSuoJFzltAF9MT9xUTrhdhyNGtGUmJoi8tuaEl1/UTrFl6Gdo0QJN16ESWZ/I0qpxFTAUUHemI9PkP4yYKF1zrisvNQBIiycQ5PajuZkV4nxCZ7VQvJ7cdWkWkFarV2Cq01aRuIcJrzGYAnxOb1IOXJNrKWh2CNItlF7otKxYZpTl0Xe+a78dZAAghhyoDeT5EMdJMmaMSDBImMRa3qGMqQbRoRJABUQapv0t7E70KbOUqMyGddD7VMPYvVAnKv60ha5P7INmnUPpEuANk6pQ5YLSSB9dGTYtCrZOyCqUJoywAAkrRafl5r84XYOEly6r0Fi0Xatu2Ep2KygIWZWoJ0YMebeLjvfvxw/K/w2E95/HD8r/Dw4D/hwOPNq0j9Ryq0/UdjC0tpXMWnem6r+x5H/+5WZRUEkF5sbz+907lmWdRAHxrCUOf5AIDe6JsYE4egCuRYaPRyV+ixe2H4hZa2tjRC0wTpiSeeAMdxWL58OR555BG8+eabyOVyeO655/DMM89g3bp1sG0b27dvx9lnn40HH3zwVI57TsK0bBykHo2xkkbSPwFEqdGvzNU7XWSbPyx9FTysiRWkJoqMlQYUwLQgr1yB12P04UbTPM2Cvw9G1XAfcjHaPiAZ9CCxLOZIbShCFmi4ooNMIl0BL6Y3i42BPVA6afp1f65aQ5omxfCrgKmSMZ52Mf3gQegDlCB5DNocOKceE/MhLRPJcXx17FVHbvaaTwHgNLoeqEKBoZNzxPMcBPpQNoslDH7pbsQqxNdVorVfYlIMQgcp32+OjqIrRnwpw+VhZ4IxLRtPHxjFf7/Qh6cPjDrXSbM4MFTCYm4YAmfDEqM4jg48jzPJZ48MOCG2eB2CVNRpsTy9dvJlxlxviK1As93SNP3ZMWlX3et0+JgBHkmIehlZ5XWUZWoSlpOwOBHpEnDbhtsgTEEV5UHWZiRQVDSuiDiHOwgAMMRuWPSec0zaACDHnX5sFWqqj1drj329NP8Y/Gn+yUAlbdu2/QRJ70d80QJwlg6AQzk3NVXyAVdBygRCZ6mohDRHz120DaZFFa3AsZJlQpC0quUoSFpfLUFitZCKetFNZlD8IbYPCY+RX9Z/GBAV5F4k2aHa07/G8X/6MYT+LABgaPvLTe2b0wWgkb/V0wUgWyeTb9mCOHhYEKnx2uJjTosb0VQh0Bp4yQVk3wpmJyqGW0kbgKMiWQGCpBqWoyRHPQTpGC0WeWD3ELZ8/TBKlr9waslqx5bvl5pu2lwabY5MnhlZ68wvXnTHunH/lfdjbYGcq2QyhZ50xPFoeRWkoS6iIq+K7UDZKEMTaYhNs2FxPPhSFRIvYaw6hmOF2muk1dE0QRqm0uVXvvIV/K//9b+wbNky570LLrgAzz77LO6//37E43Hkcjl84hOfwGWXXVYTkgtRH1v29OOy+36JQbrCvevHe7Hxvl9iy55+xAbJpFFpmOZso8Mcxgb+1YkJUhPFyApDRL2QNl4C06Y1ftLkhrUCBIlNehwHRERSKJJ5kGyqILHSI0EfAwAoItnXMn14dmT9RKdeiI1956JM1AmRHDzRMBvzH/WeByRpBlxhAHo/IUhiT4/znSklBZEnEwVTkBYJ5Hgczh9GtkKOiTfNHwAWJ8gxLtsyVEoGvOrRyD/+I4yBAST4LADALJLPjkkxiB3k842RUXRFyQSmWRqyahZb9vRj432/xPsf2oFPf+cFvP+hHc510iz2DxexjCMrczOzHACHpwxSZ8rM5pwQW8IbYqNjr2hkXyTVgG35VY26HdxL5P/t6Qz5TIcYuOT6zd2EJC4YfQmljISqWILJkWtBlVO48/RPYdPSTU3v30QYZm1Gkn5VJKEIOIcnBEnlXRVCjnjOq6cWUkWgtW+qtcpOvTR/N8TmT/NnJm1dNZ2GxrJegDDyHJSYBoVeh8UpzGRjoaX2uH/RkopIyIARpAx0arRV0v5MPVkmT3ldg6sg9R2vUQi814NTUNZTtbyzegiXCa/ABA9c8FHkt27F2GOkT6fESEeFKKcDjz/fVD/CE+kC4BJFv4LkkFkAuu25B+IRJ5M02Z0BQAhSsNE2T0mUGaim7e3DFpNFLPIoSJZl48nvvgE3b9ULcu81249QGDw86TYAMMoPYag8BJmXERHIfn7xki9iy+9swaalmzBGK2+f1k3mIzbHsf3ID5aQTy0HbAsrhV+ipJegiq4aZgpR2JqGc9OkvtcLwy80Na5WQtMEKc4eDosW1f8gnsctt9yCffv24cYbb4Rt29ixYwfWr1+PP/uzP4Oqzs5mddOBLXv6cfMjuxz/EcNAroqbH9mFg2+SqsUVjmtQ0J2gC9mJCdIkNYBsCygNkJu8+jbSly6tpKFkyA3CFSu+SdA76fE8h6Qni82kq0ensWe81jjumD1pRltm1L9KrpfFVlTJ3yQUEStoNdoTDrMx/1HveUCCrqCKgzD6CWmQehc6pkpvGwmmIMV1AZ3RTtiwcbxyCECtgrRAIZNIxZZxfJQcE4GzkPvJTzH+H9/H2MMPAwAWX0bUIrtMSGJcikNcQAnS6AgkQXIm2f966RXc/Miumsa97DppliQR/xH1HnSsBABsN8kkZpY1D0GqVZB0wz3/VtlvLvWak9l1olbIuelsz5DPDKS327aNAy+QlXHn8Iu4ZOWFAAeUqIqkKWmsE5c1tV/NgPXrqyFIko2zOJI9VKVqnshb4D1hOK8HqcyT15VyrXrpVZBs20a+2jjExo4DU4gEU4VoqhALr0N69V9PSS2ksVItMQBIiC3NPEjRNpg0Y1FO+bNLZZnc04bGYSQF2BxgVyowR0d92yVkt5q2G4p375Oe178FAPiVdT6sxEIM3n0PdHrsRNYAlhrzK9HOpvsRpq65Bov+/gFA8i/Kgl0Asp4ikQzLOuIumeUEaLRyPm9qkDKuB4qF2FQ7CZ325GPn3VGQAtW02Xwpi6QXHVOQ8lUDB14ZoV6zxovXZvoRWqUSUsd20/YfjZFoU/CM/UsAwBVLrnCUpOXp5RB4AZZlo1gkEYSVC8mCISr7Q2zHihkAQDf2QeFHoZoqbM6CyPyKVFG7IEEJ0on4kCap0zddaJog5fN5vP766z7lqB4WLVqEH/zgB/jhD3+IJUuWQNM03H333Tj33HPxq1/96q2Od87BtGzc9eO9DfPKAOCbL5Eb2eY4VCcojTCEzOTtRlgxMj7gCUotROW8u2AWy+DTaYyfTm6YjkgHImnygI5WTacyLuCpIk1vnLgsIkE9SKpACZJNM2HqEiT6cKAx+1QgnZkRpLJRhm6S/WLelYQiYuXJEqT+F8jP3nVAkvpoSsPQ+4m/S1rYi2w1CyBAkOgiwSqXcUb7GQCAIZX4VoIeJN5g2VsKBn/1GwCAPTaE45/9LAb+7M8Ay0Jk3Tr0rieTD19Ng7N5kircTgiSOUqMncyH9JWndk14ndz1471NhdsOeBQkgRKkffZSmFIals45HqR6BEmwJFDOC6vkV+6YYmDYBjSLhIhZP7reBeQz44HQ0vCRAopjKnhTRfv4PhTjtOKwTJQ5VcnAHKktL3GycGogBdqWLNQPQ+F0lPgENI0QB1kKHEtPP7YqJUhSHc8fI4o2bFSMCnJeBSlQB4kdh/LL5GEla3lwvA1OtCElTLcW0qu7Tnqfg2DemxoFKSoiTRUkW0k7Na+UNr9/VI7QMLEmwBA5lOmDPuhD8lbTdrJd2X2ilRDbR+rOPWxswviOZ2EMDDjZgxJTZSqEPJejnSfUjzB59dWAp26YuWYllj/2qK8LQL12K6d1xBCj59iWY06jYMFUnZYd5BiIiPDkGhXKtMo+JQSOghSoph30YSUU0ckiPD7QnAo+WT9Cra8PHGyccfxn9TegC5fL3rsaW45sAQBcu+xah8yy+X1vfx4C7QSwrJfMUezcsXn/OL8UALBS2oGSJ7rBEhusJHlunBMhmb5NK0hN1OmbLpxQociVK1ciFotNviGAG264AXv37sVnPvMZ8DyPN954A5s2bcJNN92EsbHabKj5ip0Hx2oUAS9sAI/lVzu/l+sSJA5FpRs7rTObazdy2iUkrZZhwenALS+jeIi8lrj8coxqWQBAR7QDcprc5DEVDnEA/Cn+APHYtPGUGPC0zpFNi83VI0i0W3SZZgTFR/yTREJKOIZB5kNiD5S4ImJlJ/mOE0r1Nw1gYA/5/8J1xBzK8bAty2fSZgoSWwECroJklUo4q52sikZ1EpYJZrE5BRKPCYh88/8BAATT/zCtvvACzDeOQIAKzhaQrLYTk7ajIJEVOVvdZbXGRMEG8WPtPDj5vbV/qIjllCDxC1YiIvGwwKPcRvwEjoKUqc1iEy0ZOg0PWWX/+WIraICoBodGS5Btss+dzNwaKBT55m6iEHSM7YVg6RiPke1jNINLldMo9E9dc2i3BpL/elxYJmHsg9JqaPQeYkqJA9ntx1alDwShWFujh4UrAGC0XIRp2TUhNt9xsEyUf0PUFFnLQ5BJqyEpbiDCFKSXn5qyVfRYqVY5AYgHiWWxqUjAoPuhtPuzxxhBsqm6Uu0i72uBVH9vPzZ3MUVJy8v/AU4t4JDdgyetc1A4Tq5HpiBJVEGKVsj1YUgJ6GKs6Sy1J7Z/G6i68+qB7AFs/uG7se3wNue18ToKUioiYWGUemyEGHTVa9D21CoCkJTIHBGpEALJiLHTsNZTTdsbYvOGGZmKVEBzJvzJ+hGycguLE1msvaI22qMYeWz+2FqUlwygr9iHqBjF2xe/3fWL0ebCT7w+jAi9ZqUIDf97CFK2v4h8dCEJr7XtQYktGHgJEerbMxNk389QlgAA3hh/w/n8hmB1+hokI003STqllbRjsRj+9m//Fs899xwuuugi2LaNr3/96zjrrLPwzW9+81R+9awBk/wnggURMq3IUOtDIr+/dM4dsMA3127k0JPkJ2vrYagALzjVsxNXXokRah7uiHRAoB6heNXfeLFeFek0zUwrIwrLsmFxlCAla4m1QrNhKiJ5GEaH/B4ngReQlMl3s0w25tlIKILTz+iEFKSR10l/MDkBtK8kYcd4JyyNg00nVLGnx62BJGfQ99o4Xn92AKNCL2xwPgUpb5F4f1BBgl6GbQHCbgOWQI6zYAXODcdh6Nu/RlogD4d0dQE1abshNsAlSJyYx2SY7Hoqqgb6c1UspSn+aF/pqBn5xDkwBAUGUznaaxUk0ZQBqvhZJb8ZlBUHBMhDcV9/HgqtJi7I9QskvvkCeeB1Dr8AcDZGI2T88TQlSEoaA0f2TbrfzaJRiG1BnnzH68JKqNRX5PMfAT4FyeLp3xdrDbHe4zBcyoOHBYWj556qKr7jcHg7ykX6nVoegkL+L8g2Iga53/LFKCnTcQJo1KW9XvYWACRkERmOFfKMAjQpREn5y284mX20BpTalSG/NlKQtKKb7SlywMFfA7/+GwDAD/l3wgaPcoJ8Brv2RKogCZbuNO0tR7uaylLbdngbvvcj0saKVWFIlT09xihJanQcVqRpP0I+4s9g8yhIAJBSyKItqRIiwBYIvKdYpFdBqiGJgONDGo/ziGcU1K9RBwAWEjF90n6E7BxIixf7PooXgPNfeACXPfcXWHl+F35+8OcAgKuWXIWoGPUZ6gFCkKKeTgCAO8+XNROvP3UIANCWfR3JDh4leq3EpbhzfZhxMtaULmJxYjFs2Hhp5KXGg5+0Th+ALbdPa7htWnqxnXfeedixYwf+4R/+AalUCsPDw/jwhz+Ma6+9djq+vqXRlaxVVupBkchNV45m/G9E24D3PYzyincDaLJh7cFfk58r30F+lkehHTsG9Y39gCAgcflGjNKGjAuiC5wbPqrCIQ6Av80IQ4qatItczCmOCABy0j/JAoCsUJ+KQLuGFyswi36yE8xkY8pDIiI6HbEPjZRhNJsGzQzaPeeS2jYAkOiGTnuwCe3t4CMRZKtZLB89F90/vAw//LvdeOzf9uLXw2uw/eK/xNERBWe2k6yvsn0MgFlXQSoPy+ArNiye7B8fUJBg2zBG80iYhKykq53UpE2z2Eb8ChInTd5yYbLr6c3hIiQYWMxTNapjpfOwzkor/EUiPaUZaH1I8OAhJsmkHwyxAX7/zd7j+ZpJlpExzbQwcCyP8YEyeB5YMLoHYtREgZpzpSR9SMkZ5AeOTLrfzYKF2IJZbG1ZUvZhr70CGq2OLgcLE3o8SDZHzmkwcYHBJUgFt0gkUPc46Ll+VKwM+U4PQeI4IMaRa6BodDRVpoNhoi7tYw2IAc9zWCCQ418ouwRSChZ5pceFsyRwNg+zhxB6va8+QSrpJZRVA9fyO3H5z64Cvn49kCOq4AfxU1zL70R21RqIPT3QaSak5Ok7GaU+JLV39aT9CFmPsWWD5BjuXULr8VQ8PcZ2krY1jbL5TkvSMC8iEypIiQiZq5JqB0ROhMQWQnUa1paNMvK0npJ3QbmIqrT9+Sou/13WND04lxHj9sZVOybtR8jOgbR4MQYPuQsqywTSuQOAWoVRLmHrIWJ4f9fyd5F98YTY8lUdzx8erwkLuwqSgQMvEqW6t/w6uFjGCbHFpbgTYjOjZO62igWs61oHABP3ZWuyTt+JLhTeCqatWS3Hcfj4xz+Offv24Xd/93dh2za2bds2+R/OcWxY3o7edGQCax4pGplSaC2kDX/g3+CMzcCaG5BmnbEnqoPEcJBkimDt75CfWhHFbSTdNrZ+PYR0GqMVMjF3RD0KkmoHCJJb9IyBmbQLdhSm7t7oUsDoCQAynYMNU3Z6Oul9fpk+mMlW9ITYFmWiUEQemmk5qbKTwvEfneekyw/YGYcgSb0kq63yhohrXr8JXMk/eapKBjtGT4e+P4KYGIPN6eDlESSUWgXJqLIGr+RBJFj1z03C8BAkbx2ksTHYtu14kKKR4qTXyYbl7RPu/v6hIpZwQxBgETUj0e1M2Hkj7YbXEv5J+lD5Tef/UpoQuGCIDfAUi6QKkmNOFlklZfc4vfE8efD1dFoQzSqkqIUSC62kaH9BJQ1jeGRKaqjYtu3pw+ZRkAwN8SzprfeiudwpcqfEA5mXcsLJYrOpgmTm83XHxojiWLngPmiAGoIEABWlE2WLHHcWYmNIiITIlu32psp0AJN3aR80ngXgT29naONp5h0lSIKlgQs8lOWohzyZCtBDVB1tAg/SRZWn8KD0AOSyvzBhuz2GB6UHED24Bd1fuMOpPyV6io0yHxJ31Q2T9iNkPcaW0695aTl9cKuAYNqkx1h5ALuGdnnS/P1EcXGMHP+CpfgJUlBBipI5J6G2OcV8Aa+ClEdSSjpZsMNlMqd6FSQWYuvLVrByeQWbM3+NKO9XipUIsDnz11hpTh5eYmFOfuEijB7zLzZNWqT0xf1PYagyhKScxKULLyX74Amxbd8/AtOyERfqK0hiycTYiAHOMrFQGQYiaSdpgRAksp0RYcehiHWd6wBM4kNqdgFwAguFt4ppI0gMPT09+N73voef/vSnkxq+5wMEnsOd15MU6/rBM+DO69e4GUIshhujtTIOPA7Ytr/x40TIHgXG3gQ4gZArevMWf/ULACS8BsBRkDoiHc4NH6/CqS5NxlKrIMUoQcrZrsGRNzUI8VqCpFBfC2dIbkXeIEEKZLIxD1JCEcHz3IlnslEF6SVrmZMu/0Qf7xCksXgGlmUj+ewq+geBs0I9YL/5j/04o42oSHzkeE0WG/QKxAjZ/4YKEkVGJKumdLUTcSnuhNhgGLByOYcgdWbqh8+814kwyQrzwHDRE15bAXCcQ+708axr0Jayvr/bPbLLSb232cqwVBte8qoG+/oLvoa9ACAKvFNP5fBL5OG/OE6+S4yZKFJjKAk3EA9SvKDhcL651OWJkKvo0Ggvv04vQRraC97SkLXjeENrdwp7KkE1To45dZA4sPC0AbtSS87Z/TpeKSLi7cNGrx+B55z7JrvgQpR5kiwgawVHQQKApETuwzLXDnvJJZPuYzNd2gvx/wRg1Zi0ATghtlKFKqp2bZaeEIlAoKRPMaLgFpGx633+1T976Jb1Ej6l/xuARgnswOm770bs7VfCoosJyVNsNE4XEFVPY+RGGC4Pg7NtrBgk+/ryMs5JKkhW/NvVM2kDQA/1IOUM2SFIYh2ClIyTayGptvv8d7xHQeI4zvExjlbI3OmdL33VtMcPYWVkB65d+j3f96w4tx0rIzuA0f2kN9sEYCG2YmwRLMtGNClBkKhnrJ0o0dv3PQoAuPq0qyHT4+0ls0+8ThYucScszAgSGffiArk+28dfRawzDUQzKHFeBYkSJIVl8xUdBeml4ZcaN51ucgHQ9HZTgGknSAzvete78Morr8zU17cUNq/txYMfXF/TQ60nHcGDH1yPzWt7Hcm+olFJf+XVZFVeOA4Mv+pkQ+Qq+sS1Mmh4zepdj77DFl43r8WR8lqUdpHYcOKqKwGgroIUqwmxscwUSg5sGzGLTLA5K+IoSLylORlgXsgRclNxhozhBhV5nX5sAQWJrcCZUbspgmSZQD/Zz88+xTnm+CFkYFCC9NgIh//eegBSJeYYxGtBUm7PVi8EAAiRfl+PKbIjFcQ6NWhREUYjBYnjIHa2ozNDwg1MQeIVxenpZHiKRZatMTz4wfU1NZe818lk8Bq00bECgLsyNLJZV0EySViL+Vh++uZPYfBk/DatfD5RiG2omMNAvlpDkACi/qUsDrm+EjgO6DLId0kxEwV6jNLtNI1aSSNTBHYcf3rSfZsMTD1KRyVEPEZZpiq+bC2HUanA4Ml9GAkYuSHFIPHkM3hbgUXJqJmv9Yax4zBeKdSEKhgcH5Juo5wgiyRviA0AUtExwLZgcwLKpcm9F810aYeYhRA7WJPmDwApm9xHpQo15XN1irBKUcg0GUMyI8TvAkDv7/el4Tthm/IwejCKRtyd54B4dQDq6zucUXobwy49LwsAyA5O7sHrjHWiK0vmKk0Aji0ACvTSS3n4/ILogrombQDoogubMV2qW0WbIZkgxyaptvv6SApJV0EC4PMhAX6C5FbTrjo92LTYUt/3DB7TgPRp5JdgD0kPbNt25s8xkyxiupelHC+dTZXflw+QENW7lr3L3Rfq9SxqRTzx2jAAG7LNiptSkzadd1bQa6NreBfEri4gknZM2jEp5vTMYxmJVrGAVZlViIkxFPUi/mvPrvpFbpuo04fUIrLdNKHpXmynApFIc/6b+YDNa3vxzjU92HlwDEOFKrqSJFzCFIFgdV7EFwBLLwMO/ALY/wukLroZAGDZQFEzkIrUyucAgIO/xoHqxXhy3y0o7doNgITslAvGcVb2cZy5nMTBfQoSq/Ks+hUktzouveENFSLIpDFmKNBLZJITLN3JAPOCeRkEQ3Er8gYIEguxMWLmDbEBcFP9h5pIkx09AOglVCFjv73QeXnIzkAvkX0Yjmbw4lOHsXGCMv0Mi4VlAABeOe4eAwa9DI4HBjYshXWIEiSvgsSK1n36j8C/+EUAQLLajihPTart7dAKBUKQlhClKq/lceWZbbhx3UJ86xk3s+unn7wc7Ynah109HBgu4TJGkNoJQWJk08rl3Cra1dew7c2f497n/9Z54K7jNShmDMOoohOk3EEQbCV6YHQUHNoRYatQzwMkGRHRPkLOY++qDETqmxBjJkqWAfBAui0OIA9TjAKcgl1v/Br/86z3N7WPjTBUr0ikZQKvEcPqGJKIVEtOmEcJ+ubkBERKdkRLhhaTEClqMPN5SD3+titMQcpVS64PS/bfA0lFxHBBRVE1UNZiAFQoAYKkdCiQS3loSgalrIp4euIspmYb+nJioYYYwLaRsMkCrFIm16fI1/H2STHIXBkVZCCbEUR7FpGaQ7oOY3AQ0kJyb7mqRHMp7NWxUQBpSLYKb8W3CK29lRu1YNs2uAlKnazvWo9142kAYzjSBZgCh3wMSJeBZNkGBx7dsW6c1XYeNINYPNoCSlqHTOcwXUKk7NanqlGQqFcpaiSQ4NxMP96ppE3IJiNIWXUcQA+ikteDRK6xgXwV1tgh8ABUmRy/BUsSGDlaxFh/CerKt0HJHQH6dgHL3153381s1lm0jGYpiVmWwvhAGZWCDitFw+/5AtpWdGBD7wbnb9m5GihmcTxXRUK0wNn03HtCbB0mhwUWDx4WFoy8CLHrQiBiuR4k0fUgsSxIs1CEwAtYFD0DbxR24ws/+zH07NsAEFvAndevIYs7Vqfvex+us3f0nG++l2w3TZgxBSlELQSewyUrO3DjukW4ZGWHL1ziKEhsspHjwKqryf8P/AIRSUCESqm5RrWQbBsHXs5hS/bzKFX8E62qZPBCz2/hzReGYdmW01yxI9rhFD6L6EC+7BKkitNXiN7wnp5pY4YMNU/GypvahARJNCMYTrsVeb1w+rHRvmgsxMZaNbBMtv3NKEhUKXjFWgrLc+kPeTxIQ7EMjlWaa+uwtIesnPnIcV/qLtkR2rTxjCV4ajHpV8R7FCSnaN07r4bCj0PnNfAQYOVpaGOB224kKSWd8z9UHkJZ9SsJu49OXBTOGZJp4dBIyS0S2U5qIDFFys7nUaUK0lF5FLc++XmfGmEI5LraXTgAoL6CxCbaw+PjUOC5DiV3MZRQRKymTSxXnN8JfYB8hxQ1nXTndCIJia58NTmNA28+D8Oqo2acAJwMNpYqzeqtvE7qwdwoPI0f8H/uEqRYYP0ox5wsNsmSYdLSFfWM2mxBk9dKiHL1FSRWTbtQ1VAukGtD0goQ3nEL0EM6zUtXfNRN9W+imnazDX2jfAaSEJj+9Qokm5wzlYkHQh01WopCpskYshlBPJJ0vHveBY7ja2ngvQtC5WkVfxpmlVeR61MYKwCwoOk8KoWJLQQCL+B9IEbugz1kTnEUJBpiu23DbcjTTEVJ4GoyUKM22bAMBaO0UXA9gqTEZfA8mXcymnvcWTsSdl20K2S/ClqtgtSZUCAJHEzLhjpCfH5V2sqorSeO1IIIYAODEm2JdLxxTzaW4i90LsDQUXJvdi9LOfOslaDqcAW4Ztk1jjcKcM9VP+23efkyj+IvkYzksYN5bKyQv2m3jkMyKlRByjhtsLwhNp369KxCAVv29OOVN8n3C1E3XF5T5JbV6eMC82lqIXl9zQ0N9/9UoGkF6R3veMepHEcNPvrRj+LDH67HJOcn3PYF9C6X4yTMBgCHfgNoZaSjEqq6ilxFx5I6n2ENv4EnB3+7/hfQVdlT33sDbWdIzsOoPdIOXnEn0krWrcVTcvqQ0YtZJRNCwY6iqFowaI0YwTbASbWKFltpSEYEQ3R+CYbYWKFG14NE04UDIbb9Q8VJV5dMnn7ZWu57edhDkIajbTgm6tB4G7LVQOG0bSTaI1h7zumw9/LgxTJK1iiAxe42rNBdIomheBcWa66CtOTf/x3xt20ghtPKOCoCkI+MoKO8ENoYgCXwtRvhOA5dsS4czh/GYHkQLJNfEXmohoWdh8Zw9VmTx+UPj5ZhWDaWS5T00CKRjOByhbyjIP1nu1bjYtFpiE2XyIrbLNYSA0aQ+nJZROBRVTwKUobnsZj6fFas68QA7YEnxkwUOZKxk5STiKfHka2WoSppyLkR7BnZ43gZTgYsxNadjLj1VgJ72a7nnVo8SlBhkeMQaYhNNGVYiSgwmIeZqxNio/drUSsh5oQZAyE2etwLBR0WVUlkPQ9h9QZALwEDL0Lih6Go5O8Kg3kAExOg9V3r0R3rnjDMZulpdAhn1r5BPTK6LUCjBEKU6txPUswJsclmhGReLl4E/cgR8pCmwoTTvNhUccxux0KM1Q2zWTaQlTqhps4E8ApEughMXnklRvcfgHYsj8TKERStLuSGyoilJlZLe46VUQJwsJsSpBgHwEanquD+K/8am5Zuwp4+Mp9kYnLtnEGLm5YRAZ8nN5tgqhADWWyQYuDFEVhawkn1B/xp/oCrIOUN8p1egsTzHHrTURwZK8MaOwTAJYpKTETPyjTyI1UMVFfiNAA43rhgqJNFuHglckPk/HR5QmxmjPaRq5DikF6wcOhohYzximVx4BgAXsKBl8bx5HffQCmr4nRKGbL2AgwtOA9LurqASN6fxUbnZt2m2WzFIu768V4YxlLIAISYS5BYY5W7frwX71zTQ0SBs64nBMk2iWLUvZaE1aZROWJomiA9TmvkTAc4jsOV1CwcgsBRkByClAA6zyAxWZr6mInKGMyrDatp9z/9DEpW/VYxDMVxFfv3ERUnJaccE58djYCrVKHmJjBpUwNhAVEUqgY0auYTUN87IcfICkO0ZQynRQAa9GPHfEQnaNIu0L5mjCCtWJAAxxHv1VhJQ0dighAEbTHyir3M9/KwnYZRYQQpjVWWAdlK1P8MmrG08X2rYVsSLLULQmQARwpvYFW7lyCR85RMJJmd1/FiJS71mG2lOMocj1xkGB3lhSjSdivediMAqabtEiTy3sZVC/CLV4eaKg4JEJ+WBAMLOUpyAyE2oZiH2kMVpGgt+WEeJI3WrRoaPYKewDaMGAwW867/iJcAwZ1qFpZIE2BhgYJEWoIxRMNCUROax+wZz8jIDpahyhlkisDT/U+/NYLkhNjEhvVWbJ2HSTPulEjgwSm5dZBESwaXTAAYhFWoJUhuPagyMixtW/b78BwFaZyRrgoEyyAPYpsQGKFwABFKivLHRgGsnHAfBV7ALRfcgjuerO1HxoGDDRvq4PVoy9Qh/5Qg5RCHrZqADEjBYpkAVZAIiZGNKOJiHNYi6kPyLHAYQQKAO8334yHhn2o+ygYhLw+nb8a1ZUrKVKLKJK64AqP/+m9Qjw4jfXo/ilYXskMV9K7KNNx/27ZR3UeLfnZz6Ih0YEFvAnjtABYZSaenH0tmYcktPtBEmJIdAXJ0kWdWIdCm3Q7kODhpBNCWIV51yZOb5l+AbdsOQSpRghQNKFYLMxEcGStDyhMvnmqnAJQRiUto743j9WcGMTBK56PsEaA0CsQ7aobNjn2p+yygCqQ7o4jEJUj0OhvlTKQAdOlRrO9a7/tbb1FPALh0aQx4CjigX44t/7Kn5rsMXsGes/8Q3fkkzmwPeJCYgmSRn2NDY+hXqgBPfFS8PApOKMI2yXd6i9xesrIDKI8BTHW88CZAnDisfCrRNEG68847T+U4anDFFVdM6/e1OhwPkumR6zmO1DLa/Q3gwC+QjhL5sVEmW+nwGwAmJkgAMDqaBUDCawxcMg5UqtCpBAt40/xZiI08VIt2FEXVgEEnPIGrX6OIESQAKMSiADRYpRKsXM6Rs711kGzbdgrOsUrEUVnAokwUx8YrODBcakyQLMtRkPpjZ4IruI9Hs8KThlKcjbgk4d0lstI61vEqzjDPoz2SCBR1HKcf/hFWnv8wjo2XYVV7IUQG8Hr2Nbxj6VXu91GClEqnIdIvEky9dpIVZZQFGbkIIQls5RdsN8KM2kPlIRRU8hnvOKsLv3h1CC8fy6GimTUTbxC+FH854WSDMP8UV1EdY2VJydb8vUHTfg1KkNRC7TbsoZitFtDt9B/ze3mcpsSLoqRauGEAPI+Khz8kpISbyaakkSkBO47vwM3n3TzhPk4EFmI7x9jbsN6KpXOOgiRn9wLwzENy3PEgSaYMPuk2JQ3C25cuyhSKwHFgYWLWPkKmCRhCJgOIpBAphl9FLEYIdXGo9nvqgS0mBE5wGk4DhGRvbP99fG1fEu0L6xADWiU/Z8dh6RYlSHVcGFIMgqMgKYhLcVSZUdtTC0kRFIicCMM28EusxR3S53Cf/feAx4unxnrw6ezvoQ8bcGWZNUImhFM54wyIvb0w+vuR0IkilhvIA2icjGAMDsIcG4PFczjSBdx42lU4Z5WM8uMHUB0bxlB5CF2xroYZbGQniIJUgQKxWIUEHpIAcHJgWykGSz4KlIBoxW3HwhIsbF2HrapONe2KSY5vLHCfLsrEkMIRyDrZ76oZBVAmCtIKcq8PHi7DXrEa3NgbJMy2elPNsFl4M5dYAlSJegQAcpR833GjiOUAVvM9EAJqDFOQwFexuC2KJQnAsnk8OfbBuscZHAfYNnY8VcLpZ2QChSJpiQ6qEhvs/rCiMKvdECKDEKKHYRTP9n2kU+Q2TzOZ450zSo6AFiZIIfxwFCRGkNhqdNUmQpD2/wLpFKlrNF5S0ffaOEp5FfGUgt7VGfCwkTs+Wu+ja1BRyAXdEXEJkpBMwRwahZV3Q1lMQXKyqliIDTEUqwY0atAV+PpZdbwSg8BVYdoRRKV2CJ0SzOERaMf6EKUEKSW7WWyqYTlZD3FPHZmVnQlKkIqN6wCNHwS0AiAo+ND178RT33rZeStN6/nwcR6bK0nIFo/+5AG8sv5RfOl/3Ixv/vnTyI9UcfG7FiJ62yfIOtwwUNZMmOpCSNiN18Ze838fnWTbMxlINk3ttjTwmQBBAlBWosiJjCCRv2vUbmSoPIRCdRkA4MyeFHrTEfTnqth9ZByXrlpQf98pvD3Y0L7cCas6NXl0MqEJkgVdqPW7MAWJEaRIHWtJnBb6szkVHbRhL6uBZFk2Du8ZQWyMEKRKlwxjkDz4xM5OlKLkARETIhB4wTEkE4JkY8vwSyjpJZ8ycSJgClIP3zhV2tR5GAr1IFmB+0V2s9hEW4aYzpC/ydd+HlvQVMwKYqD3R4MstmpBhwRApl4joa0NUOi9VxpGPMkDVnMeJNMy8cjeRwAAt110G/aM7sGPDvwIb1/0dnz5HV/GQ08eAvBqfWJAFaQsEgAN+UmROo8IKQqOZx6kKGJSDOZisvDythvhOA5xOY6cmgPHq3g2shGI/QwYegW47DPAqquxlzsLj37lGSwu61Bp41/RKAOCAD6ZRHTdeSj09yNazQIRIHtsBMAZDfe/uncvAGCgS4IuWti4cCOSncdQBsli+/WxX+N3T//dhhlsZCdoqQNEEK1okBCBVE9pkuPQ5VHwAOSye03ysZhDICxPNe2qRa7vaCDjdVEmgtM4UusJiW6oVXLslZiEjkVxiIoArWpiLH0FOiYgSMy/mQWZA7sZQaLncIDWllpkpmr+lilIHK/iitM7wRkVHNfOQslsq9nWAcehlNPRP5QImLRpEVSdWO1lza2vYFZOgxAZhJh+DrYVgVleDmaFdorcFqgfKeUm0swUQpP2LIGzImXSI2P8K64gLQFGXsNp4hhWazxy3zvsVH/+4d/txtfv+A2+/6WnsDNLC0M2Krpn24hFbZQ6aJsRj4IkpsiDPaKaKOiECDml81lWBmsHYkeRr+owqNlZqGf0BAApCpFOtClkIDOZ3lMLyTFpq3kUqq5J12uKdjPZJjBqM3Njz1pce+5p+OilbiptV2UcNoB9q/4X0qYCIW7jsdP/HzKxNHieQ4yaetMLU052jVWpoKQasKrkJn517FX/91EFqS2ddkNspuYYOL0oSVFHQcoOUwWpQbsRQpDIcUhFRIcQ7jw0eZjtgDfFn4bXAI8CaJOHZjKtoJuTwQWuE+ZBYoUvk2btQ4Ndp+BVnNlO35ciOLB7CA9/YTt+9s8vO/mB4pMjOPAcGY/Y041ChBybBF0MMIKkyRksVGMwbAPPDjw76X42AluhRtsbT7yGzpPMOQByW4BwSnGnDhIAiCkS+rLqKUiUIKlmxa2k3SDEphVp7zct7xADKAkntTuZpD0Ly5MXy3z86OM4VjyGlJzCjatuxMW9xNxbNasQeMFVTurUQHIIkp1wijnL9YiBFAVoS6GolQDP8U7mmvrGGyg9s9NJ92cPXvBVonCyRI6zrgeWX44MNbrnKjpU2iNO0ssQUilwHIfYunVkHLSUQm6SbNXqK4QgvdapQ+AEbOjdAKGd3CPJCvDEMVIkN1uaQEGiIbayHYGtUTN3PSIlx6FK5P4US646yPG8oyKZhaJTB0mjGYLBhI6FmahLkNqWoVoi97cSE8ELPLqXkc8aAA2LNfAh6ceOwQYwWiT71L3cT5A0Wo8tVvEr+qZlY1+fRsdu4NKVaUAvo2RNQI48KKmRuiE2ywIsXoKiVtCbjkBM7oGYIuE6KbUPsaUPIb7qPojJPf4it0xBSk0e7TjVOCGC9PzzzXVSDjH1cBQkVriNTbbRNmARqcdzRv9B3FiWYVf8np9yTsNgnwEOJrrGaR2NIEmiv69+4/sYq9IGoh4FSaIEKV51G9a6jWODChIJsemUIImNIj9SFDwlSAmkIS0iN4TXx8AIUkEvIF8hkzIrEsmwsquJWkisfkjvOjp2E5wNLNF5LLWi2L/yt9GXuRQcZyPx7hzKct4xiDOTo25wgEhv/hJpwGlWidx/rHgMBc3zoKQKkqTEEafVfwVLqw2xAShLCnJRcswLo1WYplXTboQVixwsDTqlDpIRCRctowRpEh+Sbds4MFzy9WBjSCgCBMuEKZDjmGyP4vbFm+kfup9h8OQBZgqEuNgTFIrkeBWr2sl+HyhfhC3/sscXqgQArmrhiWd4DC04D1J3D4oR8jBN0IncG2JbopH3nm6yHlK9PmTMpB1ddXnDeiua4ZIYZXWgMKMcBwdXNpNT9BzVy2KjRFGzKp4sNn+IjSl3RsklSEI67ZqGO4lSkkqQ67piSJNWFH9478MAgPed8T7EpBgWJ8mi41iB3FPjDjGo88D3eJA4mzwavGFwB1IMtkCIfNSOI791K/o+9WkAgJXP48hHPoL9V29CfutW93oQVGJKZ4UOI+Q+YPXbClUDFY+CxELs0fNJBqg4QAhENstNeAyYgnSwh8N5nechKSchZMiDPlW28Uz/M6gaVVdBClZLBzwmbQWcSc3zdZptQ4qhopD7jiv6iZbgpPq7DWsNUIIUDLG1+QmSSscWoWPrWU6O1UCRehzrZLLZlgW9rw+q0oZqlbaNWUzGwEJsFk27t7JZ5++27OnHxvt+id//mquo3/WzXXh+fx/ifHPZsfGOtNNEPS5GISmCU33dEGOwCgX89sYxRBY9Ao73F1XlxBwiix7Bb28cc7O2Wfg7OXldt1ONEyJIF110ERYvXoyPfexj+MlPfoKqp1tyiFMLx4PEPAXe1eiqq2HZPPIHiWW2fh6XDQV5nP3iQ1j7ykNQPAUfAVLaf+0rD6Fj/+PgXyRqiFdBYiuimOo2rHVN2lSBqJJVXsGOEQ8SNVSLYoPMMo9UH7eTEOkqtPSbp5xVKAuxAcBgiYw5WCiRKUgTpvp7WowAwNGXR/FHeQX/s6SgO3U+ji4hGYGrl2VR6SSkhEnjEv0+QzWdgpdWqUQIohWDaJEJ0BdmowoSpCiidHXFmxqEdK2CVBYVlKU8TEGHbdkojFR97UYAV0EaLA85YcZERMTb6Kpr15Fxp0p0PQzmSb2d5TwrEukSpLgiIqmVnQy2xIIYNp13E+4fGsECT+E/g4bd1vde4hyDILwEaUVGID6G/uvrjoldFW+s+l2IPT0oKuRvE7SJsreadnuJHMOn+ycnSPX6kF3z/WuhKYQkd6VjpN5KHVQpQRJgQFCCWWwxFAUeOg2zSUmiIE0UYjPsasNCkYwg2aw5rlbw9/uiBClNybMJ0QlD1cMrI69g19AuiLyI95/5ftimie7XRnDZKxba9x2HprnEoL6ClAVAPEjs0SDX8/RJMZj0QdedVdD36VtgDPvrLxmDg+j79C1Yv48pE1XEJLgKUoAgAUCJljrwEqTImWeCUxTI4wPgYMIwBJTzjcsGOASpm3PaaLBjmqnwqBgVPDvwbMNGtQCcEJstxyGx41Cvx6EcQ5ESJFREp3MAAPBUKTY9/dgsrgLAqGPSjmIJR46fnTkNqkdBAuD4kAYGJRItKPST7vYeGMMjsDUN+QxRhjsWJyDKAkzLxJHKIfLZHK1LRAnSlj39uPmRXbRgLg/bJMdipJTD/3t8L3rlfYjLE/nebCTaFPSu6XUUpAQ4cBznKRYZhVUqYevxr4DjnKi+A44j88DWga+6FbYZQZqNIbbjx4/jX//1X3HjjTeio6MD119/Pb761a/i+PGJmsyFeKtwFaQ6GTErr0a/dhZUIzlh9ecq2pDNrELXyIu4dMef4fwXHkDbGJlQegZ2oGuEPECMYRpi83qQWDXtqu2YQGuy2FiIjWax6TQUxErd10CMApQgrTjMI/vd7wIAStufdlah5W2/dGT6oRIhZvFAY9hVtBbSsfEKqnqdjDnbdhWkhevwzK+PYeOQjaTN1Wz3+sEM8q8RAsLUK1aPR1dN8HFaHbZcdkOMtKjCD/b/wO2a7iFICmsvYdUxaQMoiTLAAUaMHNfsUBkCVZDsSgVWqeQoSMOVYQAWqT4sC1jVlUBbTEJVt7DneGNvzX4aflwleNqMUMRkEUm97NRASnZEgfYV2CS24/8bItdCu9KOa1a+EwDQlTjNOQZBOC0XeBXL0hz6tbNQ0mv32QUHNdKOsdhSFCXyME7SaSmeJhO2pqQh58rgOR4HcwcxUBpo+GkN+5BVBhFZ9AgSbfvI9bPmBuCav6r5+xwNK0hizVuAFEeW5x0vFmjadN0QGyVDJtTGITZ2HdNqzbKW99fa6SSZbBHhOCTaZb043nhRytSjzcs2I/LUC9h/9Sbk/vBT+PSPLPz5Nw28uemd6H2REMwJPUh2Ahy1p9ZrMg0pCkOgNaWG+fohe/raO39wFJxlA7yKDsmjINJwqijwznGoFGktKL3s3CecLCNy9tngbRNxi1yLzKcXhDEyAmNwEBaAw13AZYsuI9/RTq/rChnXE8ee8Ji0G3uQ0qkMeFqPR07V1nGDFEdJrEKlalph1D03XgUpraTBUxMzJ5Zr5q+F6SiWUAWpHD+tRkHqXkGOVXaoimobUdSCKhIzxxe7zwJADNpsofCNA18n300JkpHPw9AN3PXjvb48TpuVNRFURDkNPGdh48oGjWE92by87IbY4hZ5PjmZbHQ+yGUn6J/GwemPB2D2htiOHTuGr3zlK3j3u9+NSCSCSqWCn/70p7j55puxZMkSXHDBBfjiF78YhuJOAdiEW3HMAZ409EXrURIW1/mrWvz/7L133GVVefb/3e3085zz9Gf6DDPDwDCUGWBooqgIKKJGjEpsiYotReXnG19NYolJjFGR+L5qCIqiJipW1BhFbCi9wzADU5hh2tPb6WfX3x9rrb33aQ8kEXxNvD8fPzLPaXuvvfda17ru677upmRkNAL6F/YwNiWuVSUfaXImUuJBH0pHGgxVsZONuWl3tBoJfZAyeH6AI1NBXSthQBiQycnlpNsW8dtaNqhd6DP2iolitj6Pjs9Z2k546Buw/5fgewxmExTSFkEA+2e6aBTmDwhq30jgDx7HvTc8Jsegy3YGMG9biRZEPZQs1Xm94YaGl361StV2MfM7qOmCOfruvu9GXdP1iDWIqths9L5OsFCXJfBeRuks6ujZDJp0mndnZxlMD6JrOn7goZkVckkTTRO7tSeTZts7VSaBw2igSvzjKbZWBilbTIqxWHsus9JMcE1hDasGxITlSdFxNwapaYtrpelNlmW1J61jcDIDIUDKyuuiNEi+bmFXXE4qiHYcvdJsS/UhU2EM3xDtVNUOdeg4uPRzfH7D/+Fu90QA2guWADATLJgJHFnNF6QE4Fmq1Qh6s3eKTWpDjKZcVHoAJMveHzK+otS/MyaqE2GH9tdMbRSszkQrkPSnZnjlv32as48+1F2crFJsQUZYM9ADGBgWjqnAzhLdEIKA/EKT4w8FaHqDQfmsY6ZbqpMUi9TokmIDSEsdUqYp02yT3QGSKu8fH4B03wCbB8X9ohgkw/VJ20KHNCcBUrd2K8hS94H+IpoESMliF9uPRIaarlGWLFJ5LgJIkQapjK7pYbpeMyphL8Lw/BIG6wzBIB31x0K8qUBGOpegOCquw0TqPPFiO0CSsoRSQXZCyB8KNwqOBLO6vFZaEPC5m78WtlpSoQCSpjdISVBf7DvIRW/eQirXer8km/Ocs3ac9VtlGySlQXJb2S8vFWUenihCF3jFjv22MUjLly/nTW96E9/73veYmZnhhhtu4PLLL2fZsmUEQcB9993Hhz70IbZv386KFSvC99a7NHP8XfzHImSQFEcZ343qBtnV67p8qjOSbmsaKl8Wpl3l3CoCNMyxMe5dJh6ceIrNyIsJQvVj8/0gdNJOtzFIVU0cq60aPbb3KVNhpfElVe+aXXaqcqa49AcLaH5AcPhn/Cr5Z/xt6T3wzTfAdS+Eq7ag7fre0j3ZFHs0spnx/TX8qrsk02bWUiwrrQ8nNZVic+IptlqNB+Z+SWrFl/FonWimalNcUUxxUyYtdFYS0+o9NEhVqVHSsgog1dA0LTKLnJ3F1E2GUgKwamaJfKyVjBI33rUEQNo3XWWVNoUelviPhK9lEoYASDIVkOuXi9e6c5mRArKh9BCmvM5eYIRj0K4HOTovrR0Mm4TffNI6htzyfiqGOKe8TCEalh5OzM1kgXOzJwG902xP1IdM08A3FqKd6swe8f8rT4MTX8b00HYS8r5IdPP/ARaSmZBB8uUz2A7sIdrQaLpNNrQ76J5isxypc7HLrf2+ho8FQK+Pk5I9DksHproe11ce+Qpu4HL68KlY/+dLXVkd4TgEb37oBvpTXYSBUlvY8DOhED9Z6F4xaCfEs63aSSwV/RUBmItKf5JqfQYUQHLqckPlVtsAkkiLpyuykOFw93YqjZ3S/2hM48zlZ4asjZ5Oo6XF/DLUTDJRnWC2eUAc2xIptuH+gQggDeQ735fItgKkOIMUa1gLhJstzah2aJDwXJYhzulgQzzjhqWHzxvAmBRcT3iyNL5NqG0fPkyAxqIhPv/lmc+GGwVbAiTLS1GTp3vjzqsJlfgqfPHca3ojbI9TCxKs3zrCM35/AwBuziBz4Jucffv7WHusrFgNgqhZrSs+FwKknJibMk/CTD10gS8dxQ90jswMsvuuCY48Or90f9GnMP7TVWzpdJpLLrmEq6++msOHD3PXXXfxvve9j61btxIEAePj43zuc5/jJS95CUNDQ79Lxf0XI9QgKSFb22S7bNsWsvoM3czvRPiknAWKc7tb/pqtTqB7TTwzRS0zyuh73sOstMSPp9hCBqkhAFLD9cI5uF2kbZsCTDmyAsRM9gZIRl1sLbxuAAkgCCgsOBx/KGB072cZow0ElMbh+tfy4qRgwrr2ZIvpj6qLT2IrA2ScvkiDpFJsDS9kkNxymV/MfLb7Ictr8JHBfjwzCZ4EDZ4ddvqOR016kpiSQWqvZPPaSv11czH0gYIYQDow13Mi2TvVvcQfOhmkXL9c9Naey7QEb8OJYsgEuqo9uu8TtOkQD86IhTPQmwROXegYkktUHgUBycYcK09ZSUX+Vs6LJu6o1L/IaaZgve4YvwM/8Du+6sn2IQvfNysB0pCY/LNJk4QSJ3cDEMBCIhUCJE8yQl1F2vJ51TSbvKG6oncCJC2AhJIV2iXMOIOUKkBe7KIzMj1VHu9Mo9acGl/f/XUA3uCd1cEcxUMHRuoL5Hd3aRQuGSSNdCjET/R1fy4blgAzrvnEAGk+J0TaRdmepB0gFTMWBODJVKPl1DBidhiKQUosiudg8Uj3jUBcoH3O8nNaXlPA86yMABglXTSt7kix+R64Mn1YiCxDUgNd0sTS5LUSAqSICIjctFsb1mpmNdJsqigdwcSjGZgcrEiLCStg8fv/Fmoxx9ZLHdKiZPWP3tcCgp3DR6hmx/Aw0ROwT9sZvhYHSPLrCUpzGJn9LYcRePJaxljPhCyccCTLqeUtRud2oRGINiOICkk1JSiApKof3Yw47hX099yUBoFwd09566FRYl/pBL44fTXfuXYqrMT+4ntvZd993TcHT2X82sr8VXrt7rvv/l0q7imIiEHSxUSrt146feNzOLfvcwBdUgw+BBobHr2exIrljL7//ZhjStAdkC8fAsB45SsJzjsDxxcT+kA6miAUg5SWKTbV8kPTIKXK1KRI27dkJ3rppWJ281IRL4C3BIMUi/4KLBpal1YF4jdeOvV/0fG7M0jSQZvlp1BeIv0Sj5pVWpJBOjD5CDV/tkN0GB6VpjFhmtwz+2jYRkL3barJzh25Ar2JtFj8Qi+kWLsRiACSZpVaANLmZX1kEwalhsujk91FlcIDqbOCDQQw6HMjk8iQQepfw7TUigxP7MRcFD3YPC9SW7an2R6bUhqwgLpdQtd8zj3+we5jJK/Fxn3fJDE6Qln5MnmR0Wm2KE0pEwWOcftJm2nmGnPsnt/d8X1Ptg9Z+L4Z+R1DgqnJJgxMxRi092GTsRhLsflW1Gsq3sUeWu0O8ird2tasNpcySQdqEg6wnDaRNoRC7UxCPCeV2U6wecO+GyjbZVbnV3OC9uTSEulyF2ZPAiRDT+FJZkj18ep4a0IBpHSn8laFptEYzLFrlQZ6k74eAKmQtkhAuLdrT7FZIyNYy5eTqckU20z3TU7tYVGJ9dgooUBbhSkr2U5LiWvtJgVA7Eix2dH4jvaJz+i+gzXYJVWcyFDvwSDpbQxSMcYgdRi6zh8A4HAwjH/3/eJ900c4+q53hVrM3IQ43smjAb6WhNqscNWW4Rw+TCm/VhzWqEegxcCTLK5IeMmwL12+HtDf12iBLGGKzYgYpBF53koXZSQNBmQlojkinqNqrBlxWlYARik2MX+8ds3LOsdPhqZBc/ISvnLnEfbdvk/0CvVbncKrC01+ePWOpx0kPSU+SPFU3OzsLN/97neXTMW9+c1v5oEHHngqDuW/TYQ+SLpGkOhCexdWsHblAs90P9HhX5NsLLDl4WtYkZxh9XXXMXDZK9nwk5tYfd11LP/Yx1ixSrbxSI0w2xCLcd7KkzQinUCkQQpYaC5QDz2QjKjkXjJIvhRVu3LNsNI9eidpGs2keHifCCDN56DUsxdPQL45yXb9kU6AFBdoLzuZR32bqraUSsWnmlxgvG9fR5m/HWOQqoszvb6gJabqEWAxPJsJv1P7oejpTHoBgNJMg0duH2e+bz0BWtRuJCuE2ppZigS+CKHrtjViIuumQyo1HKbKzYhBGmwFSAlTp19uAU3NDX1T2PldZmTD2aHHbsa89cMAuAvT6DJl0Q6Qdk80CaT4vSb9ZNavmuOiN28JgaaKBi5bHr6G5RxBsyzZhw1yTrQAxkv9g7l5ThsVlha3H7294zy3jWxrqXpsjyCAnDEk2iwEAczsleOxUfxW0sTQxLknu1V5AfOmGTFIevQev9J636kNjaZ7WKEGqVOknZFjlQia6IHf0RBV6ZByCVkAUWqtYvMDPzSGfPXmV2MNP3FPPoDUaJf3ySo2K7BCBqn9mqmoSYAU6Ba+ZnYvTwIOv+ECAl1D0xvkkfdKutjy1mLGIiXHQQ9cUczQNg7pU04hXZdmqosmQRtT6i0u4h0W2Qlz07EMZ4bx/YAjj86z+64J5gePI0DjBEMUVOjpQ2hGpaWKDogAkmYwIjeFhtfEy3e5r6wMNS0CSKUWkXYrg5S3xPkIBqk7QJo8VGD9T78nzsGJdFbu5CTV970TywxwbZ/ZvvPECzEdknP4MKU+oSPtX906lyoGKeGlKKXFOOfr8EdnnNTyviBMsUWFBboE9ba0jrESGgUJgizJICmAlPF9dOWCrgBSUozhSekNXHnelQwmo9Q+QCFR4C3H/TVueQvfvfcIN39fzV/dQfevrt/ztKbbnnKjyFQqxQtf+MKWVNz73/9+tkp/i/HxcT772c9yww03PNWH8lsdasL1NA2nbSeqolI9DufueVEK6nscv/M6tt5/FWff/j5GZh5g8PI3kpCOt5phkD1jO4UXXsyKYwR9OjVpMFsXACmuP4Iop55tSAapvc0IhBqkQO4afLnoWt28VGTMDUmA1EvLoGnUi0l2rdJY1Je+XUdY4LHpausDtHgI6nOgmzByArc/NoutBT0ePx/Q+NWabxJoQazMX1ZkNN2QQcq7T86EfsCKWA3ddznsdgKkmoRrxlz03p98YRe/XNzKrWd+iIPSFqo1xdb6PWcsYRipKtiOteTuq41BAijIqSBpSvZGNnOdlkM+7HmYcqF3pvajJyMdkoqG47F/ugq+AA5VWXmFlWb91hE2ni6Of9VJg3w12+Se2v2MzDwQspkVaWGRc6KFJm4W6c7McNZyYTHQTYf0jd3foGR36oGAkJ144cq3iDYLpaNCjKubIuWITHlpYlyT3cq6gQXDCHfknq+FQvr2NFso0gb0Hi1XckmTrHxGEp5YZDoBkvRCkteu3mx9Bn5x6BccLB8kn8jz4vUvJnPaqWI8e7A6PjCX7Sdz2qmtL3hu+PymNCvUIFk90uNVKwJqwx/5GGYb4DJHR1nxj1fhnisAraY3yQfyfmhjkPrSFimZMbV82Ry2TauX3rqVVGMWLXDxfINKm6dWY5ewJpkqwLaN54bGpMow9zbjudx65oeYO5zkmL5j0bSAbHEPCbNtTlEAKZElKwsUDLfBZDcxum5Q0/XuDFJeVbGJc86a4nwMs4pltP3m/AECHzL313CkE73lxoToQYBGQN+iKC6ZtCQ7JgFS4Dg4ExOUZKHNiZs3hFWvEAEkDZ2KZMyWe3necsbz+Myrt0WicZliy6UdnrNBSgHkPWtLfVhK3suuYaHLa6QAUtb3Q58rBZBcpdOrVDh/zfl89MyvUXv8csyGqLa7+JiLedv2l7B+OEt/LaBW0egFjkC4yY/vWej5+q87nnYn7VNPPZX3v//93H333Rw6dIh/+qd/4uKLLyaT6b7o/y5EpGMMS60LgxR4HlPf2x0+JPnKYZZN3Un/wp7Q/Xnmn67uSAUAjIzJ1+fTzFS6A6S4D9JiczHWhy22G5ITrCYrFzyp57CyvQFS3VLtK7pQ9WoXetmpBLrGYvvE0hazej91x+PoYqwoQLFHw8cTmElmHpqj39fRTI1MoZUlyJmLnD3wUfYPPoiu6eQT4jxayvzlfTpKgQT9PU3JtSBgzPM5vrAFEB5IGgEHmp3nUMNn3exJlHZc2PFaM1nk9vnj2HffVDjptafYgJZKtnbhtHIYX6d3lviryErmJJHwhQ5DNnOdkbqgIdfDkrtKN0ii+5ItjDFIj06U8QPQAnG9q2oXLO9dpWNYubGfQ5bPkBQFWyFAkgaYsTRHnEHyZmY4S3ow3TF+J+//6Rf4wj03Ybsu1z18HX9zhyjbf+aKZ7YsEAC6X6Rx5NWct1L4XYX6o/61IMXhGT0AyZykemhvFnUtNMx0ml7ojO4ttmqDLMNCl6XyQY8UWyZhkFMMkgR2nSk2wSD16QcAqMs0iDLCvOreqwC4dOOlZKwMmmEw+t73dBVpC/gP3z/3lWhGG4vRiI4/jSk2WUT3fntUDUI/qOSZz2DDT25i7G/F+OvZLBt+chN9F1wQtYUxGmQDeV3bNUjpRMggKeakG4OkBz5pyXC3l/rXd4oU1P4xjc2LZ3Q1Jm0mi9yyd5jTKs8X59bX1h4Iwgo2ElnsRQlavSYHu2xsHM/BjTFItZKNKwtX1H3hS+CcNsQ5m1aXCryFx6lNJ0jWXVwJSEynLZUaBOSnxfGON+QGRwq1nclJPAyqObH5HVtX5H9v/9/hRz3dwdPEcVUl83t+8QwM3eCiLcs4ba24505YJjYwLzl1kJVqiZGZi6YCSBLAlrKRoWkEkIKQhUxKbZdjSKa5Isahbgd4tfXkvdMB2LOwB03TeNUZa8i22670CNW78OmIpw0gfe973+v4m0rFffe73+Vd73rX03Uov5Vh6iYJuYjVuzBItbvvwZ1ZoCwBUl/5YMd73IkJand36r4KIzkSWhXPN5iSXjpxgTaAETeKbMx1eiAFQZhi0+QE6EuAZHZzoVXHLcWnzaHBnrtQ7/kvAFiaQepbwUy/sOLfNx2bXEL90cnsenyRrQviIdx+yTG87sPnsCG4hc07r0X37uE1p1xDNns3AMVkMayCCTVIjUiDFNTrLHNf2fVQ1GP+7mpAIAkZw2viaTp7u+iVa4HPOQde2v28NA0CQS0PpwTDpHVhkE5eVSRh6EyXmxyYbZ2E905XSOAw5Elx8mAng2RpAhiYaQ0evxVKR3GAeSXS9jxMPQaQVCVXDCDtGpf0uiHTkGqSt8T1V75YqbRJJmEwVJdaBgWQZJ/BbCNKV8XNIt3pGb710L0QaHiBy7cOfZyP73gnp37pTD5298cAuPzEy/m/z/2//OjSH/GJ8z4Rfo9/8M9xy1sYlW1jwgo2qT8CyLn1MNWbLHTfsM1r4KpxsP2Y1qRT+2Uq3xmUSLt1Y6NpGv0ybWwp/U8PBqmgCYbENVLc+OiNoRHmY5JV+P5j3+emx28CoO+CC8g///kdxzOXh797xvM5ctKZnScmf59EPhLJBwFmDw+zmq6HzIRd99AMg7xsMO7XaiFAixuHpr3uDJJIsYn/NmVatn0cUsdtQksmSUuB/UKbWH36/jsAOLQswcSNvXYt4skcvP8YtEDDSz6CE9O7iZOJAFJzTm74fIcDlc6NZU2yPE2zhiX3WpU5mZoKU2wSIOkCMOlmdxsStyHNaLsxSDIKJSGqnpiV7M7RB8D3cQ4fppJbSaAZZAoJcv1Jzl9zPmtkyg2NsNQfWVW2KoiA+LR0mN+yTMy/FafS4uMGEYOUlv3cFrPRNaxJUJsJYgySMoo0FMMqrqvqvlAwhJfaI3OPEAQBl25bidPFeaJbZPt6b7h/3fG0AaTXvva17N279+n6uf+WkZHeJDWrE3AoJ9tSXvZvkuX7vd4XDy03xIglrk3pkFj4ejFIegDN8iJl6ZIdmp7ZVZCVRaasXPAVK5HrrS+qSj8Vz0ix4Sc3MfQnfyI+s359uAstyFTXoq7TM/182utZNyJ+t6UnW6zFyK++s5dMoFFNaWw9fxW6rjE8/yhjU/cwkwrQ+0ZYkCyV0h9BrNVIjEHyq1XMxsk0jryagtXas2s02c+VUzOcH6TCHaXuO1SsFPcfXuC2fbOhGzZAcn4FObufntSyplGZb2JOqkm2k0FKWQYnrxLn317uv28qXuKfF12y20LXpUAzbUBFME2zEhyZQUDR98NO9k6QRJfmTgogeX7Azx4RaSBL2jzU3JjvDULDBYKVyCVNhpXmZUxOzJ6YxPN2HWQ1jDKLbCYLPP7YI3zxsQ91FiFIwHJK/7P5s21/hqZpGLrBc1Y/h4TUCVVkJ/VhlToLAdLG8GsyTgNHAaRc99l6ET8UaTu2h5FXDFJnas+QoNOle4oNoCBBf6Imr1lfvrVFSqoA2RGy2QqGHM9Pfv8jHXYGs/VZrvj5FSFIcsell4z8/rufNcYfv83g9mMGupsjSjaPdD8ZyTJruFHbk7aoamCb4njU4mkUi2GTVuXWHAdIKU+CyC4ibcUgWQogtaXYNMsideIW0nVxjy0ebK3Uqz0senyl1zyb6sJSNeUaQRVG57cQaA3unry79WUFkKwM9oI4liBwebyLOL4ur4dJgJIolWQlm9EGnBOa9J8zugMkMyXGXBkrml0AUp8ESKV5n6o2As1Fbrr1Nh6591FKfWsB0aBW0zQWm4scksU3H33mR8nJeesFJ74aiNy0IQJII9lYykyxv4pBkh5VabkJno9dQ7URyvlBR4rNEfL7UKOn2iT1J1Zh6iZlu8x4dZxCxmLbqWOY+iId9gOxyPWL5utPVzxtAGlkZITf+73fo9bFfVdFs9nksssue7oO6bcu0rpkkKxOBG0ODxOgUZYAqa8HQDKHu1T6ZCKA1JyQu6w2BklLJsESE2uq4bEgH4TIRVtOfppBKi3y74EESFa+d/q0LBkk3zbQDIPcM88V/65WwzSAcrQ+YA0xTbH1C1S10D1fYPOAeLBCoXYQhCX+09qJ2I9IjcUZQxiGTuB5JI6KSUQvlwgyIyzonQBJMUh2W6uRmu3ilrfw99u/yqUbLwXgnOXn8MNT/4rza3WwMriSaTM8m7KV4eBcncuuuZ1nfOSn/HCHXMSaSwvUVaSasuO20SSZ6FwEVLn/He0AaTrepHZdZyoTCHQJ/HIW5KRrtxz/Qc9Dh1Bs7JJEtyRAqtXCfk4/2ikW7YWq+P6jklYPd6GSQUqkTHJJM2KQRiWDJBeFnO+HC7ZikOxEH81ZMV7d1uwggAem78N2I22MrumhsF03F0iaOn0KWKoKtsEIIKXtRsQgdWvSCswHbijSdmMpNr/cCZB0mWq0tbb+ibHIS5Y1aZcINI1LbnplS4uUC795ITcNr0LTCQHG2EKnYDi0lrjzI9jzc9QfFJWDufPOE+eWKxLoGnpidkkXbdJF0nIMtcDtfJ+MKkHEIMnrqplmCGxUi5yoWW0z8mDrSLFFAMl0a2iJROhbFI/MKaeQUQzSRMQg+dUq6aOyJc/q03seczxSZcHM3Xz45tYXQgYpR1Om2PzA62BlIWKQMr4fNhRWOqSQQZLAwNTEvwO9rYikUYLaLJlhm4VsAUfOZ5bT9nuaRnqoQP+YeP3OhtAhffcH/8YNP7wrlFaMrBX3hrLCWFdYx0XrLqIgNVGB3LwqgOR4PrOyP99YvghAxa7EAFLrs5uSm5qZVHQPVt1IpK2e24QCSIHsXSnngrCPZDLF+oJgslWj71edtZbjct8gcuzqjGe8fGNLH86nOp42gPTNb36T/fv380d/9EddX5+enua8887j+uuvf7oO6bcuMrIEuWZ2TnCZ007FXr0Zz0yjezaZWusOK0CkMjrEmQCZgRAgadPiAWxnkDRNi9JsDZiVD0p7mxGSeXIpCy3w8ZQb71IASe5CA0/Hc/0w3eJOTRHIibqQkDsbzef19v+Sv9MHr/s+XLEL+tfB4iFeeuRjQBABpPI4VKcJMLj5pzoasMtyOeusFZRuvJG9z30uxozYkb709m+y929/jn9QLGqtAEnSxU0PPRMZRSqrg3wyyZYhoTWydAvDjZyTb98tKtAM36aSiCb9icUGb/3yvfxwxzgLxpMzU+wfyKMHMqevd/rhKB3SXTGhdtP1eHy2ypoeFWwqXLmQObkUrDkb+pYzbUbpNSAUabtBCi0tmJiH98b7OYlQ1TD75xfDcQCRogTByOVSEUCylo3h+V5sJ+qHC3Y6nxCASNPJ2tlQT9cemgaBucC/PvDzlr8vy4qGl5q1yEhfMmJEZiWbHUuxpewoxWZ20d4EQcBi4ODGGKSw51aXdiNIgFSTqdp2HySAjDwdyy5TTQaMN1vLmKdqU1yhTXNjJo3hi/EaLhe7jIAASRO1CXb86Cvg+yQ2rCe99RRxmmVpmmjNPQFA6seSrGewxE6+RhCK1RUzCDHvLgWQpOO/pjew3O4MUl86SrEJD6RiV+YqfcopZBSDNBv95sLOB9ECmMvBCZu39TzmeJQdsVH8+aGft2r2Yik2uyzmJg+/O4Mk01CZIKAvJxh1BZCMUKRdJvB9zEAySlotcnIHWBAbWS03yE3PfU1otWG6nRqk0fe+B3dAzKl7GsLx/feMX3FCfX/IIB1EzJm3HhUtQpQflKpM9eT1UJq5mYq4hoauMZYrAt1TbIpBSlbEdZ1KRH5uKsWWDSIGKSVZStuX5rJtKbZcwmTTgACpj84LbdXJKwuckr2Zi4r/0EGm5/qTXPTmLaFz99MVTxtA2rJlC1dffTVf//rX+ehHP9ry2s6dOznjjDO46667uPLKK5+uQ/qti7S8XPUuAEkzDA5JrU6ucgg9ZqSn/mvy8os7xZkA2YhBSiz2YfhmB4ME7TokMaG2txkh2Uc+ZZJybXwJkKwebrwAZTNaWO26izk0JJgq3w/TgYpB8rUaRU3+TmEVrDtXlAxf+jnQTVYe/SG/b/wi0iBJ/dFu6xVM7K9gE3B73mf9rrtkK4bWNIU7X2X1TWm2P+qHFWzQKlT1ElF5e9hqJWmEgGqhuRBOLoGV5qu3CS2YLhkkFWpK/sD3HuZg/lEqiXl67ZoIArJ9Jss2FjF88TsOnaDq1DX96BocnKsxIQHL47M1/ACONXtXsAW2jS1BaD2XBt2Aiz7SItCGCCABBOuEWPoX9z/eedQSIHlSzKw8ddQu1EqZZC0jFGmbo2PhLhQgF/ih2FPXNTJ98n43CqSfwJH3YKl1YzCWFYBbtxYYUek1uyqqG6ElxWY1aiFA8rs0WK46VVwCnJBB8iORdpeGtar5Z2ju2sVUMS3XyqRdotTNTF5yQ+8aGaKkyybKtWLnG2Ph3nonALlznhEK4PsWxbXQEnMMdOtgH2OQTHm9fa03QKrihT3IVIoNwByQTZaluWmUYvPwbTlGXTVIEYPUzW0eVKm/BEjlRFituuf2HwEwviLNKScdG7KOXSMIcFM6jztj6JgcrhxmfylmmBgCpAy2BA8OAYfn6zhe63goBintB+QyUrysGCR5XxAE+LUami/nQE3YpIQhS/zpX0t5+zM4XBAto9oZpPyFF5I9/3ncOCk+2++Km+XZxgNsbR6inhaA76p7H8f1fG45egsQ+UFZCiApc1PJIKn02lAuQV9SzO/dUmzqGluLYvwnrXwILLtVsSn/LMfVCNBiKTZxb2WTJscNiAIE1eRbcxsUghLrU7erpDR9Zw6x8RXr+YMPnfW0gyN4mqvYXvWqV/HWt76Vv/iLv+BnP/sZAD/+8Y8555xzwtYlb3/725/OQ/qtioy8XLUufkCe7/HTivABSVdbBdpzebjy93Q+qH+ndfcSfvEQOX2GtL6IHugMVld0MEgQPfTZRvSQt7cZIdUn/F2cJoFMCVpLaJAqmhtWwzTrLpquh/4azrhY7PqScrLRAgpykSAb0/2sPBWe/RcAfMC8jlzlAPNVmyMPPMbO2nO5efzFANyWctm8rsDsR/6+e4NNGX/4Y5+iFVHIpqWHaR0/ETWrVQxSJmGGIG7RXgwnl3nHpKIM1nybSpu4PgAmShUcXG5Z+63uByOP84xzsoJa9sTvNLsApHzKYvNycdyq3F+V+B+XkNqzLhVs9en5cOdaVpYMm1/EzEnC3C1ikCJ0EiwTjsRul35sikFydfG53bOy6ivGIA37NSx5L1ojw1TlwmQFkAyINDHEhdpFil18QOOxum+s5d8KIGnWIiN5eW6zwvCSzCBkIjNUvVYNx8Hpso+Yb4ox1xSTZnuRSLsLg+T7MYDUxdwVICE1wgm7FLocd4tA06hbCwBk7e4AQrwxIHuv0Fdlzz0Xc0SkGFPzYnx1a657/zEJSEn3o0sGyV2CQaoGXij8VcAXwJAAyZsTY5XUo5OqO09Cg9RmEhkPc2iIfEFH8x38wKAie5/NPSh0RPqm9RiGztmXdmdJ1bM0vjZBQJLVGcHC3HwolmZzohSbXZMASRcau8PzrS2zlAYpE/j0pcUzH6bYkkk0KUnwSyWaTkDgintLbS7FPw6I/+9fy/JiGk9WfVluDWvVKob++I8BqN56K3fuOMiAK851zjkmbPkzo4lnusARjq/ezHd33s9EdYKEnuC0MWGzkEgrEbgUTUuANCUrwkbyqTAdWrbLMQYpg+/5OHKus2bFnDydzGNLwNi9ik1pJDVcM4UnU2whg5Q0QoCkUmyUxPpV8dMk5P3wdzsP8aYf7eCZH/1ZJEl4GuMpA0h33303zWZnOd5VV13F1q1becUrXsHf/u3f8oIXvIBCocAtt9zCxRdf/FQdzn+LSMs1va53epPcO3EX2ZJYDMYLAiDdfix84A90/vhtBnccpzNhL3LvxF2dX5zIoFlphi0xsQ5XVrc0qlUR78dWcsROIRRpN6IUWz5lknOjxbSX2ZzruzQJsNt2omGabUI8EEkjGdoc5E2ZPmoXGp/zDlj3TLJak7/yfsE33n873/nZZn5W+hNsN0EALOo+F/oTS7Zi0NAYKsPqx6KVWNO08BzCqoxqNZwgsnGA1FwMJ5dakEBKdSSD1LkCapKN2D/4IBcMXtWx+035FbY8fA2rJDLwHQGAan73dgvb1wpge8dj09w1cRc/OvDvGJl9LKd3iq10RFZQuXWqWjQlTMuKl+HVzxDnMLwRQ1Y1+bJRa9rtfMYVg+RIgDRnG/iej+uI8UqkTEbk/WL3FdESCcpy8cyr369Hi0i81L/QAyAFAWhukT84+byWv4cMkrkQAaQu+iNAlHXL33e6yBwWm1KAqolFsEWk3aWKzZWl4TVN7yrQ9jwfQ7qsJ+wS5fTS2op10gk94RW7vq6hsbUyhD4zj5ZKkTn9tFAAr0/PQxCgWyVyqS6bg1iKDVdcJ7sHo+kHPvXAxTZVFVuMQRqUDNKc2Mg03YBAAsUIILUefy5pRlVsTm+ABJA5+QTSdZG2VqX+1l7BBo5uFWxJaUb6/rStbsnmPFsevoZpxE20pV+woD8//PPoTbEUm6q61OQcd6AtzRZWb/kB+aS4n7s3rK1Qsz18TzwzCmiLf0itaHENK4pp0jEmLbl+PUN//DYSG9bjl8u43/gK705eTUKr4JJk1l2L78JCSgCkEWsP77e+xB3jvwJg2+i2cN5UKTZXE9ciaDTwGw2mlEA7nwzZvqpTJYgxSPEUqj59BIDZVCE0Cw6NIgMf3Dq4TQxTx1SticxM6AelAFI2aXJsv0hvH6kcEf5lEiAd9ISO1iegIR+JuCTh6YynDCBt376dfD7PySefzB/+4R/yyU9+kl/96lc0m02++c1vEgQB73vf+zj11FO54447OPHEE5+qQ/lvExm5A6p12YlOPX4rQ1VBzxYXBUC6b4POzjU6QUzUNn3o1u5fnh2iaImd9Uh1VXcGKXTThrKky0OTsZYUm0XOl5NmEGC0m7HJiMpkWydalRZwYimwPpkCShuSpm8HSLoOv3c1O5rPZlfpD7ErreW7GgGX1BKMLdEWLB7FUivTpgCSL3dgcYPEdCJKsS02FwnkJJtIZZHFXhi+Q6WLBkVVYKV9n43Wzbz2b85k+QZxrlvOW8H5wb8xMvNA2G7ElkLtitO9q/v2df2Y+R18f/5PeP2PXs9P5z5BZs01XDami+a5XVJsZSl4NexSOIEBzNTEQjQ0LPRVBF446fmyZUra6QRIikGyZZfevnxfyyRrpQyG5E6zVhRAvCKrl7LSqDFkNGgFSMVq0EH+qX+/5tg/I2G2bh7GMopBWmCkT6a4Qv1RK0BqLNbk93nU/U72RLGmqtO50/QwCr1TbK6sW67rWkeJP0Cj7Ag5auBjOVXKT2AFV0gKFlDXih19rdS/39YQi37m9NPRk8nQOiOo18nUZapT69KzTgGkVJFAAtl6D5ZVAYN4mb8Ko7+VQarbHoEnfbG87s1qNU0jqyw13GpLH7b2SJ9+DhnpqL1wcJyD0/sYnRSbjBPOvoR62ebeHwnQ8ZzXHM8J54rWKyuP6+fcXR9nZOaBUB912ojQ59w3eR/f2P0NUTXYVOammZA1MSXj9vhMG0BSKbYgIJ8Q17+62MST46ckCX6lTM32CCRAmmvENjdxBimfCpslW04NY3AATdcZevNbABj8wddZ5s0xZomU1IS9Cadqhg7aY6ndLNdmObL4C4CWfnRhJa6vg3xGvIUFpsqy71xfMvR98wKPuuxHh5WONq6WDqUFcQ6pvtDqpYVBgnCzHJb6m5mwmq8SA0iFZCHUCO6e242/KMDXUV/4OdU1UNZI6k784Pd2tlQAP9XxlAGk//W//hfPfvazmZiY4Itf/CLveMc7eNaznkWxWOS5z30u/f39DAwM8Bd/8RcY3XQxv4uOSMtJu95FxZ+bS2D5CWyjweisABYzXdzxh70etHlmECslPFVGq2tb2oyoUO6wmQbUXMUgdRFpJ02yjpi0jKB3qbCaaJ2QQZI07jIFkKLdQk6mvBKG/J1sJ8Pl55Zxa+WN8l/tv6kJo8ZdIif+RJHqb20qq3L4jtqBSa+XhKGTMPWQQfICj7I0/Rsa6GdA+hXpnk25LcWmAcPyGqXlYqR79bAxpYaGpXbks7M4no/TFB9YdLq3Oqlb95Na8WU8faHl71OGwRUjQ9w0c3/HZ8qywa/mVsIJDGBaLkRDsmEq9QUsmVINkuJc+jW3YzTVgqgA0ubVI2EaxjB1DFOnWBXHV82L86tI1+2cat8RT7HF3LQvSF+E5rUuoIFb4BWr/4L/de7vd5ybmoCFBqmNQWoDSE2pOQl8J5z846FSIynJILm2H7IE7Sk2zw+wHcUgaR0mkSCMBcXvNdEIqPRgkDQ0xgKD4y3xPHhmkbFk6wZhNDPKleddyXJZSZg7V7J+qVTIyPTPSY2J36WfVazMX+1taoDbZb5QC6Kry+c2nmIbVABJAPiq7YU9vqpqY5fqBEBx5mQpBim9bVuoQ1o4OMl9d9yA6UMta1JYvZ67f3AAp+ExtCrHpjPGwqouw9QxB4SuMJDppQV3P4Zm4OPzwds+KKoGp28SG4lEDscWz2QyL1iY9kq2MMXm+6S1RQEgAijPyzSbYpBKJWq2S+BKBqlHim0oGWnDTLeGOSjmuL4XPJ/EmjVolRrzezOMJSRAco7DrhphD7ZRay9NDR6ti3n87BVRP7pQE9TwQo2XAEjinh/Op0ib6dD7raoM3Kx0KNC2EuIaNcwENTMZajBDgKTWDHkvJaXWzTHTeNUqQRCEHRhUq6S4UPvQ42KDPuWLZ7amtQKhABhfbHRtp/RUxZPrl/CfiI985CPhfx85coT77ruv5X+PPy5Q/kte8hIAli1bxsknn8zWrVv5m7/5m6fqsH6rIyM1G7Uu8+iQcwIQMJ05yHBJ3FjTheiNWhAw6nlsG+tRBpsdwk+J0uBCTSxoiTavHZVOyDQDap4AAZkOkbZIsalj1eldKqwAkicBUjNMsYkHxB2PUmFZU0w2CbMKNl29fMZ3z+E4S23DdRpGHwvFDfQv7On6jgCYzUPfppUtfw8ZJCk8x/dJeg5p2bNLpQHrbp3F5iJ9gG6lOW/9EAv3zAoNUizNoq7M689dzqceFTQ9AHaVwrA4h8XpGsaQrAqanaXScPFdcQ3mGp0AyfM9PvXgx8V3t90jgaahBfCRu/6BZ69+jmi3IaMy3wBS+F69BRgogDTcJ/pXUZ/HlADJT4hF7/hilylEMkhNOcEZiUykP5JaiIKshinlxaKlGKS8ajnTI8X23HyaK8+8nrd88xsMFpqYfoGjk8tYc0J3BjrUIBkN+rJyse9iEgnQrMgea4FLtQtAUim2HLLBsh1z0i61lvlXGm6YWqrp3VNsCiBpkokopxWMjxYGxQy9O7+Z/swvoQpOoo9vn3ktO1NTTNemGc4Ms21kG1qjye67rhBj9oxzw+8wx8bwFhbon89wZCUsOl1SzLEUm+vJhVDXKTdc+tv60oWCer01NQ5gDsgGy5JBqtlueD9UNcmkGZ0i8aRqNfIEKbbUpk1kmuLeP3hgisOP/4Bjgeb65ZRmGuy4WbAQZ790A5qukZKLdKPqCJfy/fvRSguYo4tc9dCXO75/KmhyxcgQVzYncd0RMCDbn4N5OirZIoPEAM2tkhtIsjBZZ9et46w+fiDUbPqVCjV3KGSQQoDk+2EVG/1rKVZVyw8BmFW6UjMMBt/8Zsbf+15mH8kxukYA/Al7E/O1UZxcHi1wGbL2c2cySSNwGUmPsLEYbQDUXG43PIxiEW92VgCkkvj7SF5UeGatLGW7TFnXxWbaymDXxXVOSDp8IVMATetgkML2Ou1mkWYaHIeg2WwRaQMcN3AcPz/0cx6de5SzFsR8M+cNowE1vTtTpFivpyOeFpH2ihUreOELX8hf/dVf8a1vfYv9+/czNzfHT37yEz760Y/yB3/wBxSLRW688UY+/OEPPx2H9FsZaU9MRPUur81UBahYTB0kJcH/bKhtFjfau+saxtpndP/yzCDlRJlKYh4NjZlDnZqKsB9bE5qy1URY5q80SKk+cimTjDxWY6lSYbkwBG0TbcQgRRN5ypBGldIWoBtAqu7b0fO34pG64HmiLryN2VKP4xeep9Pvt6boQoo6iIBF2m1GVXxE1XaLSmthZVgjHZmNNgZprJDiM6/exkmrxMKZVT/uVCkMi78tTtWjBWd2lnLDJXDFb0zVWyvwAO6dulcYCPYgyAINJmoT3Dt1b8vfq7IBquM3QwbJD3zm6gLEDBXXyS/wMOXa5kltQ7/m8plXbyNhRD+qUmxNNVRWOjKJlEAzVxLfPZ+RAEkxSCoN2ZJik2aRiQLuzAzlpo9XW8+x2WfyxtOfB+h8857DrefqeVTvuBPvxl+w+YCJ5gfo5oJYlFSKrU2D1KzJ6jS8llSjCpViy8onMN5qxG8DSKWGEwKDmgIGbVGTAllDnvtFp7yc4Ux3Zuj8Fc8krZfQJL1T3nOU08dO5wXHvIDTx07H0A2qd95J4DhYy5eTWLc2/A5LptkGFsU4TtSOdBxLC0CSp17XdXEe7cctgYGumN94mb9kaTxZxVaLMUgVXe/KHvmejymniaWq2EB4LZl58XxNzWukHxO6lTv6ZrjhX2/F9wJWbR5g1fECXKSy4vls1tywjUumXiI52tnZAaI54CMzt4p0FNAvDWgfb2OQ4j5I+w4PhgLte3/4ON/5xH3clHgpU0Mn45VKMtXYlmIrj4Nni36AfSsIbDEIukxFGoMRS1645IVYK1bgNQ0Sh46g4VH2Rzjobweg6BxE11xu7RPnfdbys1qYeytsuO2GANRbWGBapdgku6qE2kKLqIGZDDeulvTzKmfF51WRihqHbAiQFoBYPzZ57/vlckykLQFSfyTULroC+JZ8Mee1M0gqRnr0SXwq4mnvxaaiWCzy7Gc/myuuuIIvfelL7Nixg3K5zG23dTah/F2IUKCj1gV0TB0Uk8YZNUG/LmTBkaXKI57HlVOznP+cvxcl3F2/fIgZ02AqJ/RLU493AiRlfpZpgh0ogKQYpJhIO2mRkpVPhr5EJYzceQSG1DQ0WkXa8RRbSpf+HboCSJ0ptgxPjnodOWMlK/7xqo7WJs7AEB9/qc6dm3SKsXYXEC3srh2Ebtppr9nSiy4s9Q9bbKRxQidtm0vOEYzF+uEsv3r3c7hoy7JoklWPol2jMCIrymYb6CFAmqHUcAikSHu2PovTBuKma120JV2i/X3VqpiI6jghbT7fmMcNXDQ0BvMrwh5lliGup2+Kf/u1KhdtWcYxw+L6vOVZx/DnF5wMSGCgxkGZRMpdZXpBLKAzGTFmZVvcTznZaoGpnbD/l+B7YYqtmRQAaV5WBhYzFi8+ZTmmrvHA4UX2TIrvEB5X53Pwda/j6LvexQe+0uBTn/ZI3PZTKB8VVYa6Bf1rWsbBrotzc/DDVEA8FEDqCyKRduiD1CbSXqw7BIEUJ+v6kik21YdtyzFncd1F1wFgaAafu+Bz/PDSH3L+mvNheBOaBmlPAJnS450AuforUdqdPffclsVRPU+DJXGPHa4c7visAki+nsGVOrCqYbBY7wRI6rk1NfH/zRaRtmKQZH+yuAapB0Bq+fwTpNhuevwmbi8K1sXyB1kjjW0PFEcp7xIGg2f9XqSzUz3BGlUnTLEVgyPoVqdmTEWgaUw4ZVxp4jmyXICOx+eqfPvew6ETvgKK6cVt/PDBc/Hc1gW9QYodJ1zOwUOBGAeVYlMibZVeK6wCw6RRFWOtSvzNoUgHqlkWg296EwDlRwz6DTFP70k/D4ChYC8acIvcwJyzItIfQYxBqrcCpFCkLfV5yreqoiovNS3SIAXivZWcGMe605piy0mbALW5UWaRnjKnrFQ6ANKxA2JO3Luwl5wnUqcNX7y/PVOiAcsKqdAQ9+mIpyzF9p+JVCrF9u3bf9OH8f9spF0bElAPWul/z/WZOSIW9OSQ2IFW8wFp36eu6/xjReOEF14Nm1/U+8uzg8waBtPZQxwzdzJTB7q0TuiLjCIdWQnS4aSdLJCydFHRAOhLeKmoCUbTW1NsSqTtzcwS2DZaIkFCk0aGsuqrG0AqOLMkGz7NZLGn3XKyOU/BWSB/8e+Rf+5zqd19D9d+9y5unHB5zmVncueRN2IEAfla6wRqhRS1Szabxa/VSDvNqIqPOIMUtSuInLQdjj92JTw2iecHGFJHFgIkVXJjV8mOJDAtHdfxqUs/Km9mlkrTFbvQwCDQPGbrs2EKCehaedgt2lmKui3tI/DCXeGMrBTqT/Vj6ZaobqpMYJridc9IYAJ+VaaHJAC68IQxgmQddkI15v9jS8CpgGZiXnz/lHTkDSdZ1Ttv4kG47oXQt5zseR8BcrhWjubkPIuS6SlmLAZzSZ593Ag/3jnJN+49zB8bhzjy9nd02DgMlEH7u3+mREAfCEfxtlSP3fQgI6q3lmKQCtQpAb4boGWlQ3KjgW/b6AkBikp1J0qxadqSKba0/F6jvxj+xlB6iO3LYnOhbFqb8WepMUzp6ELH91V/+Usxhue2ssSqkm2gIp5F1YIijCAqz/a9BJ4sRKgZBqV65ziEAEk+t06XMn+/VCKwbWrNKMVW0bXuAKkqPq97DfTA7wmQPN/j7+/8e1YuL3HGlI1vJBgtDxIwTb8v5raDYzsYWHFe+BmVYmtWHfQxsbD3OZ1zW3sknABPF8d9wNHl78M7r38AEAv18SfOogUaxuQf9PgWAdjuPTxEbdgl8MQcFqbYYvojiMwYE5JRVGOpovB7L+Hxq/4PzM+QaxxkzlpHzRKWKAOpCabGtrAnUUILAs6ilbFUqW2RYhPXwJ2bZ7osnr92Bqmi6yAtGtS8rJcF6LW0AD3ww7kiTLElZMoibDcixt6VmyC/UomJtMXxrMitIGflqDgVHq9OsBGwfXEM8RSbms3ff8nmcO58OuI3xiD9Lv7jkZEVQ7W2FgCzRyr4bkAyazJbErvDqdQgm7JrAdj3gr9bGhwBZAaZMwyml2KQpOgw2wjwNFl11EWkrWkaWUlW6z3yyBCBA02XDJLq6TQwgJZIQBDgTAm2w5APfFV9X5cUm2+MsnHv17v/mFwwN+79Br4hFgzNMMiesZ3p7c/ioeENzMjFqej5aNXWHXrYsDbWjy3tNqPzJ3L8XlDVOlYatxkxSPlhMeEtxHbl4eQi27LgVNF0jT6ZZqvJ83bn5iQI0TED8TvxflyO7/Ddfd/tfu6xGMuMsW2k1W245spFXY+qTEKBtgJdabG4mMr8UYqpVS82xTQU0lZULqxAn5mK2oykTYIgwJwT3z8hJ9XypGyNYbclkEvjJG94bchE1hYbIYOkHKFfdqrQi33n7kNM/u3fdfW4UhPd5D99RbQMbNMfAdjysjT0INRKxEOBl6IfHaOfSIdgPJ5ma0mx9ahiUwApK1MuRrHIbF0wax1VpPkxSBbIaOK9lbZ0j33oEPbjj4NpkjmztRmt8kIalC0ljpSP4MeMZLGrINlIzzXwDCWy17qm2NQ9m9DUcxtLsRUKod+TO78gRdoKIHVnkBryeprSHqNXik2lkHevhLS8P93EMBPDmxmuHYunudy8/JstKWSV5gkC8AtiTAu1Ll5wbZGviU0AwN/8fH/H6xOLDW7dP86y0npwB1mqj2LdTZCcsztTbG0ASTFIaanHM4faNjymxbePew5TQydzVGvVkt6deC0/WSm6DJxg2xSvfy1MPgy+B/t/SeKI8HpyYgxSdWYOV2ofh3JdAJJMd5cfkj5Fh8U4bNl9F1/40d9i3SKq5UInbWXf0KZB8pKS/S+VOhgkXdPDcv9HpNP68ZLZ769M8qzD93Hi9F6W5RN85tXbuGjLsq7D/FTFr5VBmpmZ4ciRI0xPTzM7O0s6nWZ4eJjh4WGOOeYY9KW6sT/N8elPf5qPfvSjjI+Pc8IJJ3DVVVdx7rnnPvEHf4ORdhpAknrQOmkpMDO0Osdj9wqAsz9xDGPD6+HgQfYs7nviL88MMavrTKfE7nJxuk6j6oQ7MGh10g60GuB3FWkDZGT+uN2LJB7RTrQVIGmahjk2hnPwIO7EOImVKzACMbksGoZwJJZUcDzMkVFGZh5g7eP/zoG1L2h5LdmcZ+PebzAy8wDmyBUtr/XJSrM5mWYo+h6U2wBSvGGt7McmUmzRIxSW+ntRiawjgYPh2RQkQCrVHXw/QNe1SOipxN/SIqAwnGbuaJWymyIFePPzlGviey2KuMzxw/0/xPZsjus/jj//5Z/zqyO/ArTQ4TZOomlBQIDGBWNvahFo23UXF/Hb86YudvxEabhh6dBLWpybqTmAhScBnV+r4bheCKwKaYuaLybWmq6Ja6XrkUg7aeAtLKDZYrE+bOTA96gcug2SOvmO8vpAloHPUmKYWg0Wq2KjoAwPn71phP6MxciBXbiTnamncAwAd65CbTpBdnBDx+u2K53q9Wgc4rEgtRXFoMkhPAIMXDdAz+Xwy2W8Ujlc1Er1mEhb65FiWxRjkK/HANKi0NF1ONlrGgxvIveYrA4rudy2b5apcoORfIpj7xDeN5lTTsHItT4bpmSQBms1QMf2baZqUxH7qPRHuoXfcCOARNA1xabu2aQWaQeDQFwnTdcx+vuFCHh+jrqdiqrYtB4ptnbmpAeDpO7J4w8FpOrTVHMrmBw5jYWC8AGaSf6cSnK+JYVsJgwMS8dzfDypncnXNUy/H09f6Gx8jHhW1nl9kQO8LpigeASIBryZRpdS4S4RNPzOKrZQoL2mZRxMt4qvaR3j8Is909xZOJ2RE57Z8f1eE2a/n2fdsSdxdnEv1B+Bay8CKwWVKRLuSuD/YM/PYKSFdKE+MwcZGMgmSEgrllaAlKZ0443M3fgLWPVcTDfaGAw2Fhn65F+zsL6fhpzvsqr7QLsGSQKkxmI5bDYeZ96PGziOe6fu5dGkxSWNBMlKgwo6l+36PsOzD4kx2TvK6Onvhd8mgFQul7nhhhv4+c9/zi9/+Uv27t3b873ZbJYzzzyTc889l4svvpht255cz5ynIr72ta/xjne8g09/+tOcc845XH311Tz/+c9n586drF69+jd2XEuG55KRpnw1r7XfwtTjYufqD9XoXxAP2WRyBSsTawHYM9+9YqslskPMGgZNq4bVD848TB8sh2JHiDlpNwHNB73RVaQNkAo0Ub+2BEAKu2G3ASQQaTbn4MHQTVsLZGWXrgv2qEsKLXPaqZhjY2En7MLCXlYcvZmkXaK4sFdUhnTpR9cndzqL0tup6PlQaa30CRmkRhuDFNMghSk2X3Vvz+DUpd2BHlCQ1gF+AOWmSyFtRSWyqrzdFsdeVDqkqkZK08D3aczMYeZ30NQFiP3yri/z5V1fxtRNXN8lZaRg6tXM1xukh7/L5okF+iswn4PZZT4Hpl7Ht8YHuOKcKMVXmRf3lOnUWEwkqdoevh+EKbZ2BsnSm8QBEq5LuRSxGX1pC2xx7HVdxzNTGMTajKTN0KhzPpljwdXg8VupuA1IZsgG3VKyAVl9mpI3TNPqw54Rx1aUDWUTps6LT1nB/t13dvlsZ7gNoyuD5HjiWlZ1nfQSGqQB38fUbJwgHQq1/XIZP+aFVGo4IXMiGKTeKbaUvO/MYpHZiR4MEsDwJvLWDPiwUAn442tuD1/6u3u+zVaE/qg9VMp6qL5IVh+i6k9xuHw4AkjxEv9KJQJImgDz7aGq2FJSg+T7AZ7jhxWO5sAA3uws7uwsVXcsqmLrlWJTDJJ8bnsxSMOZYbY/6vPam09k13Ei5TgxdoZ4MfB51n1HOJLxGb6wlV1OZUyqizZeWnxvoVnlGP0P2MOnO6sG5ebiDwcvZIc05O1lmIlmU7OemI0CKAV+yCAtNBfwAx+9PcUW0yBV03m0NkLhS7ce4JlNKVDuYZ1y9oGXcvYVg/DtP4XFgyGzn1Bg1k+iP/oVoEhzbh4yMJyLLF2ysqFyRdcIjBSTf/dh3MJzAVoAko4AiVMf/nu01wUEukZW3bNhii3yQQKozy8COTSNFu1m6KidSFCazlFdnIP0EAlV7ILozXnk7e+Af7yKvgsu6HruT0X8pyide+65h9e+9rWMjY3xute9js9//vPs2bOHIAh6/q9SqfCTn/yED3zgA5x++uls3ryZT33qU1S7tCp4quPKK6/kDW94A2984xs5/vjjueqqq1i1ahWf+cxnur6/2WxSKpVa/ve0h1MNvXLqHQBJ3EiH03sYkiX+U5l+CqYAe08KIGUEQAIorEjI7209T7UzzUhvQM2o9WSQEnJSiRV9dUQ7Va92UNDpheTL3kMCIHXX2miGweh730M1I3YZ/Qt7GJu6R5b0i2lw9L3v6ehHl5cMUtlZEJ/z/Q4GKSF3PC0MkmuT6aJBWoh5iLgyRWGlLVKWERprLspFIfRSMRRAErvowog439JMM9xJPnb4p6RWfBmf1kXLlZVNz1/5GqanNrD90YBPfdrjA//q8/bv+nzgX30++WnY/minj0hlQez+ks15SnJyrDteVOKv9EqSPjdlBZfnR1PH4qz0xEoYWIYeptgA6gnVDTxikFR14kyqQLXpEpQnxI4VyPcwgcsa0igzWcCXFVL9MXbzZaeuZE6JRJ8gzJTX4YEUeF7IpFUNPdRXxEOV+ReMFGbohdRdqF2qOxBnkLqk2OrlSKRdM5MEpsVsQwKkLr0QGT6OvrQAh76ZxfIksPBdNo2L0u8Hl23qPN9R8SzlnTrDvtCstOiQYhVsXrmCKwGSo7Fkii2tNVCdHns1rBUi7ZgP0hIaJMut0bSSIr3eJbYOnsxL7z6ZHSdcHoK4KDQeOe61vPTuk9k6eHLLK6Efj7w/+uwq67NnceV5VzKSae3vNer5XDk1w/Fm1JKnm6s6CBf88b59WMYsS/VRTPkVDhkRQBJeaeWeGiTTrTHfxpAfmqux9+FZ+gK9JzjS0Mjb/QzVjhfVcbFQc6yPhSY3e96CuO4jfdFY5i0xRhVdpzap405MRA2c3db0twZ4E5McfyjA1E0SabmZDlNsUoMk26c0F8V6kk2YLUUESqi92zSZvE3DloaVCTsm85Br3+TffZjAe3Kg9NcR/yGAdM899/D85z+f7du38y//8i/U63WCIGBsbIwXvehFfPCDH+Qzn/kMX/va17jxxhu54YYb+PznP8+VV17JW97yFrZt24ZpCg3CI488wp/92Z+xdu1a/uEf/qFrW5KnImzb5p577uGCNhR6wQUXcOut3V2mP/zhD1MoFML/rVq16uk41Nawq6FXTi12ozq2x9xRMWHd59/KkNzETqX7yQTCkXSqPhVO7r0iSPeHzUlHV4sHuV2HpBaChAuWG6CZ1ZgGKXLSBrAkERAsIahTVH2oZYhNsmpSV15IIUAy9K76IxV3btJ5bIUwNsxWj4Z/n83DlS81uHNT5y2vUmwVKd4seh5UJlu0LPEyWT3bnUEKU2xKI2ZlQg2SJSeLohQuLkhmKRRpK/8fOSZhqf90PTTf23f0Gz3PG+CnR7/D2Ucf4C/vvI6hRtv1rsNf3nkdZx99KPQR8f2AQ7tkesezqUnNQbXp9mSQzEB6ALkBWlqCuHkxbgV5jkkjiaEM52S1W7yKTTFIM+kirh/gZEZCgJTr4mANkNXFZN5MFNHmZ+XvRQvpCcv7cE84melUoddShQ+YGZfMsA1tKTa/WsWRC0HZMDtE2nW3HqYSimYaK+zH5oepZ69FgxT3QepkkFzHi1JLdonFRJaq7fbWIAHe0Cb6pJt2M1lkpCbG5PjZA2TcJvPJHH+5w+5wGjZyWZpJ8ftrm0WgrZItBpBaGaSlU2zZwIuYiRYvJFnqPzdHrenGNEhPwCA5NSrJ3o2tq3fdy/jyS8U/2kGC/Pf48pdSvavVxiIVGhaK+7vPrtKfSXD+mvP50aU/4v1nvh+AQqKPHx46wvm1Ok1pfYHv4veawnSbQAtYM/CFnscMcNzcT6k6LgQmGVmlOVc+KuYYiDRINcUgVZmxsjScaD788u2Pk/OenIN0c9/OTgZci7yDfEtcD1P6Dg3nYwyS0g/qOm4j5mMEmF4rQFLRX5Gfk2n49n5sylw3BEhtrac2FDdgoLHsqE6zauCrilmnra9QEOBOTFC7+54lzv7XG086xfZHf/RHfOlLX8KXE9i2bdt41atexaWXXvofSkvZts3NN9/Mv/7rv/Ltb3+b2dlZ3vOe9/CZz3yGL33pSzzjGT18en5NMTMzg+d5jLaVeI+OjjLRo0fXe97zHq64ItKtlEqlpx8k2VXSMv1Qj92os4crBH5AKm/y0MIdFGW2YyrTT8O2WJFbwZHKEXbP7+b0XiaRQMUwZa4d1qxI8jB0VLLp2ayYiIKATBMWjRop0xBCQLsVIBlStOgtAZAUVZ/UqwS0lvu2eyG5rgAQJV0nyAx1lUR6vsff3/H3XMI7xZAxzj++SGc+B7tWaQS6xuN3foRnr3p2iw5Hpdjq3iJYkkHyHajNQVYsVC0i7ZBB6q5BWlA2DFYax6kAGlZWPPSFtMX4YiNceCKTNbmAyhSbKvUvzdTRB4dh7z5S5RLaEqKuUnOKt+wQTW87fcQFQHjzQzeQyLyeffdN8cuv7aG6IBb6UmEdL/J8fmw7VG2vpwbJCsSk5UqxulevU5EAqU8CJE3TyOhJyl6dqiV1HDEfJNVCZkamPEojp1OWBkvdAZJGNuNBTZT6W4vzkIX+TMQgaZrGS09bzT/d/xL+8s7rOr4hkGOQPbWMlhtqaVILwqNFLQQ1Q29xFIeIPTJ1k6yphwtOvN1IXKS9WI9E2nVdx7cyLbtRlV7TdbEzL+cGqTTdJRmk+xujbIoxaWO1xzmSH+G0KWHtce/wsRwt2dy5f46z1rd+fjHXz0izztpmFpK9GKQifqWMJ4sYbFiyii3rByS0OnaQbWtYq6wp5qjmI5F2Lw1SI2SQqix2a8cj457bD9NMLVHirWk0UwPcc/thnhOZSEcLNUksIOU5DEi7CkM3OHelSEtWnGr43DRl+TuBS6cCSf6crKhdmb6DDcV/4Je8L3yeALI5nXW3/xMj2lHqm8SGvJDsp+ZWmZ95hHUgxkNuPhSTZro1FlJ5xhcbrBsSQOlrdx/i5PJRiDFbvUI//EiXoQmwtBpOkMFLpAAfvSqe5bivkCrzL2saZlEWiBjdGSQV8znImtno2srNWSIcdwlQpdt8XH8EYkO1zszRX1kM2SPdszG87qSJO/3k7Ex+HfGkGaTrrrsO0zS5/PLLeeSRR7j77rt55zvf+R/W7CQSCc4//3yuvfbasA3Jpk2bePzxx/npT3/6Hz6B/2y0t79QIsNukUwm6evra/nf0x52JWKQnEjzMSlBjDnqMlCSPi6JFBUrzWLdYWO/SCU8UZptVnpzZHyfFUMOaEKfoiZyAE3X0VWarQGpZF10mI+zFRMPge9hyBnFNXrfYqFAWWoZWnahYcNaAZCaMvfuaho1WTbaHvdO3UtloYkZpNF8j8m+aW45obUfXTejRMUgNX2Z3tLlhFGJ0mxPqopNaZCUwZmVwXPEf1tZMckolmVB7hbDMVAmazLFlismMUwd3wtw+gUTWGgtXOqI4w8FDNeqvepp0IGR+gL5+/bww6t3tEzmAJlA48W1BAfun+5MsSkGSY6RY/shUKwttDJIELUdqFli99iNQVrMKRftgKpkDnK9UmynPh8QZpHpitSKtXWlf/HW5dyx8iQ+tu2VHZ+vJzU+/lKd+XVuV/2RV6mEAKmh0dFqJKxgSxbREjlMLerHpnoUeqXWFJtikAAabZYC9ZK4/qmEjwaUElmqzaUZpMPeAL5WRws8As1gRV1ci1MlQLpnVGg5ujkNz0mAu7ohrsuRcswsUplypvtxShV8me51tGDJFFtGM0lI/WB8cxOaRc7PUbddiBtFKpYhFnEN0qKZxu9xDzTqT07a0P4+xSDZroYrr8OQFz1MAxJ0eYFHSddBM7DlGCY6Tb8BAbY12UcxEwSsT93Oaz9wMkOrxPy47aI1vPLP1oveb5UKjmR/BpJibObnpV5XskcQjYPl1phP5ji6IADJ9x44ykLNYUCfI9mY71qlCQgbk8Ycg8nuE4Vi6j3JIBkNGy3woxY8xIwidZ3MhhHMsbGeKbYA8IcH2LVKI2NlOgBSCEx9yUTJFHQu2cnLHBdYzOfAlim+hFPuOY+Zw70zCL/ueNIA6a1vfSt79+7l6quv5thjOyeY/0wkk0le/epX8/DDD/PVr36VjRs3PvGH/osxNDSEYRgdbNHU1FQHq/T/VNi1UIPk+E5oEjgt02AzucOh/qgxOAKaxkLdDu3md8/vXvLr1c51yPNIuHP0j6k0W5sOKVbJZiXqsPO78OlYWfGXfw+u2oIpdTH2EpWLkQeQmHA9x8eTncStZUJHpBikuq2HbruLqe5ak8nqFAM18blMfYrJge656slqay+qvOp0jRjLfsmCxWnqblVsqTYGKQRIijWz0rjyEBJ5AYCiFFsbgyT1P4TeUFGpfz0vzqlQXZpi7+/R6T4eARp33dZ9J6jaWuz50SFma/J+UCk2pUHyxf3g2tE41CUwaAFIutLziMW2hUGSlWZVWXZdbjhUpGYi154+NZLw8i+SPUE0YW0mCww0ymha6++B2Ak/69hhmvI3zWXLuG2tEOTv25Djzk06E6YJQ50VbHEGqal1+iCpyqNisgiJbAiQXNuLpdhaRdoEFgor19o2CspFO2WI+6CUyFJuLM0gjfSleYxlpHzxO6N2k/5GifWLR/HRuHfk2HAcQKRQjzw6z+67Jpjo20iAxrKGuI97pdicUqQJtTW6G0W6qrDAChddJ1bqb8YZpFiZfy+RdsggOXUxDl0qCAGs1U8uxdS/tlWfpDRIzZpLNSUAQH9sk2kZFn3SbmLO0CGRwy6JZySd1PnMq7cxlGsF42OFFIa8dmkJ6HS3zsAyOTdkLCzpGxfU6xiy9dKA1OnMLaoKtrWxcYhSjYvJHEckQPrS7eK9p526MbIx6dGxeePeb5DYfDb0LaedR1bpUE8yQloQkHUaLRqkkEHSdbRkhtH3vqcrQFI87/xbfk8ItK1sOEdEVWxi3L1Ax9NN/LK0hkl0AqRNtsOuVRolqbe04vojFbK6ub3I5qmMJw2QPvWpT7Fy5cqn5CA0TePlL385l1122VPy/fFIJBKceuqp/PjHP275+49//GPOPvvsHp/6fyDsKplY+kGJexWA2Wncw5DEMu6gEB4u1t3QY2JPj95jKsKdq+dBbZaRNeLh7kizhQApYJ2xF65/bQvTAkBpHF02uWwuBZDkJJUjmqzsdrPIuTn8ZpNq0yMrxQCLXUqmAWYWkgzUxeey1XEm+rvvQWYWWidQlRryJFAryl1eXKitRNp2ww0ZpEwbg6RSbGVddKALzBSuPOZEn/iMWtRVdZC6jlm5c1Nl/hDpkGpJseD0VxI9N48aGtrQEzvMLhQ3UGv0viYaGk7ZYWBePOtRik1WsbkLgARIchwapUrLuUEMIJnRuIFkkMaF8L4hAdJcvYordVv5t94Br/s+XPh34os8G1aeFjWsTRYpNsv0payuhnEvO3UlW6fFZiD7nOfw3ZUirbzmqBjvCbN7BZtbKsUAEj1TbMVkEaxMmGJzbR89TLHFGSQX0FDKo5reuigoZjaJ+J5SIsNivRH+TjcGafu6AY6Ya8gEQjc24Hohe7S3uIJSMhc6De+7b4ovvvdWvvOJ+/jx53bij1zArWd+CG++CAgvHgXOQ4CUKtKsiPtRI8CjexVbqEHSEzH9YIxBChvWzskWG0/gpB0yJ1UxDrXO3wR4YNkObG1pBiUTzHDaGa3rlGo30qi5lCRT2dds3U0oFmnWMCCRwa6I62ImdC7asowb/lhIP3QNvnL5GfzsXefiI0BPRhpK4lTJ9EndWakZsu0AWaeBoWsMSYA0X5FdAiRACoIgagrrVplP5jm6UOf+Qws8eHiRhKFz4SsvZLk5yZadnyUpGU0VyeY8Wx6+huXmJJnTt8NFqhdq9Iwots/RMugpcZx9drU1xRYySMJJO/+85+FJUBkHSDPpIl+/5I+ZPWNj9DklLK/Pw/6bBfsmf941MwSyIKs9xQawqVoi0DVu3yo2ZPEKNnEa4ou6Fdk8lfH/jjHR0xhXXHEFn/3sZ7n22mvZtWsX73znOzl48CBvectbftOH1jvsChYg+wVSd+rYDZf5SXHTP6jdybDawEqB80LNDlNse+f3tprDtUW4c/V8qM4wskZM+qqFiQojNIuEY3mQ7tn5AFdTbRaeWKSdDVxMrdVNWy8UQhGwOzFBpemFFU6LVvcql4J+LMWKSPkKgNR2VAH4ToGC3rpAKgZJM8UD3K/SSnEGqYcGKb4bUrtQEFopT0ujZohEUUweKi20UGsTacvcexwgFWUlW00X3ztY7s5wKubn0pf9lUhNahoBGvPFjUyMnMp8UbAHAM7wk0uJZ5w+8laelHRVDlNsrrjJXNsPxeqOpM77YgApo6mS+cjBF8BK6iGDZPeLyXBWupZraKQTOVh3Lpz1x7D6bCCAB74aNqz1jCT9diNk4trjucePcJpsRrtjbBO7Cyvx0eibb9BXDZgwzI4ebABOqUYgQV1TC5ZMsZHIhiJtp+mFTZxbqthkaiqjGKS25yAESJ643uVEhsmqEMYbmhGykfEwdI0NJ5xKVhfPap+vsW1KgMF7R0T12vsv2cyBB6a7plCbySI7qiezpSQ2gofLkkWKlfnbsmGvYfigiU1We8S7t3dLsZnSAdqdmxMtW5QPkq7jd6k0jFdvla1MV9ZqobHA9ZO38LON35IG1d0ZlDNHv4l1TKuOVTEZzarDgtxc5Rqt1dOtACmLLZ9P1aJDVUz6AZy8qkgzZhaaVgJ8u0ZGAvnqoo1mmuEmIuvWyVgG/dIraF4WQVAUHkhO08OXaTjTrQsGab7OF287AMDFJy1jqCAYnZGZBzj7jvex9f6r2LzzWrbefxVn3v4+hmceiADE5hfBy78IfZFvUCio3/5O9AHx7PXZtdYUW9hqRPggeY6PLzd5pltn+Ip3Mv3Xn+CPLngv9645JWLA64twrSx8Cny47hK0T55IMiHOyTXTIDVPuTaRNr7PpkUxJ+wrSOsOuxXAmqOjrHiaS/zh1wCQbr755l/HcTyt8YpXvIKrrrqKv/7rv+aUU07h5ptv5gc/+AFr1qx54g//psJWpbWyLYRbY/pgGQIw+nwaVoUNDTGpGjI9Vao7rO5bjaVb1NwaRytHu383UWuJbgxSEJuMQjftJjT07ju9IABPAqSMO9X1PRBR9Rl0kqErb2QWqZpsOuMTVJsu/bIX3aLRvbZgrC9Lf0mAn2z1KOMxBkmdQnPyEsb6WitlkqZBytLRDMkg5eSkEmOQwhRbo7XMP74bMnSDvNyBLRgGrh+9ZhXE39s1SOFio9J6cQZJCrUrUqCerwQ0jryagWRrGipsaHrMBYy+9z1MDZ3MrWd+iPtOeQc7N7+e+055B7ee+SEeW3sxB9c+v+vYtUfNKjGUidkpKJG2I9gLJ5ZicyrVlnMDyCLGq2aocVOLYIOgIdkX2RZnTmpGclYOPS5CP0W2cHjgK1gJHYWLc4HWoT9SoY0fZbQyi6vpfGQyQ81KMd4nGNX144FkkDoBUnNBjXuADVRtt+W+V/2ziqliS4rNseMi7ViKra4AktQNat0BkiplXkxkQ4A0kBpoHYdYbNpyOjlLAKQUJtskg/TYupP4zKu3ccHmMX75tR5ssTyG0/ddjBZoQqjtezAnnaIrkzhVyZzIW3dJDZKRDBfdbu1GvNlZak0Pw48WxJrZXp7f6v9TTmTCCs94/Msj/0LdrZNcNc2FxX8IbR9U5IwZLuz/B45/5as6+k0qLUyj6jAntX7peuvGTzF2c7oOiSyOYrLlPZ22DEwJckt1N9zcWbqFpSwcnBrZQsQgQWy+dBqkE0YExFRVcVuJvxZ4GF6T+VSeW/bN8t37xZz9mrPE2tR3wQWs+MersEZHWmxM5vMBj/7xn7cCiM0vgnfsCKt+E8tFatkeOAlNek3l7Wpriq3NKDIEvoGPETgMvO51mKeehq/p1GwvalR78HbRfDcepXGSrphDXTODXuvBIFWnGXBtRlyXlCN+33LK6Nksyz/2MVZfdx0bfnLT0w6O4NfgpH3hhRfyxS9+kd///d//dRzP0xZve9vbeNvb3vabPownHyFAMigHPnW3zsIBMRFUCmJiXV1LA/NYy5fBbjiyUOfu/SXWFY5h9/yj7Jnfw8p89zRpa4pthqGVOXRdo152qMw3yQ+IRTrsx9aEIz0E2IEPvtyN61pvYUzkIi2o+iqDrULtZWPYBw7gTIxTbaQZzDmAGWl82uL0Nf3c6UgNQH2cmdgmPHALNCcvYVg/rWuzw1wqoCkBX39eVih2YZB8LyBIRSLtuOEZQNHKUXYqLCYyjDiCsdN8F6u/KF5v0yCFYyDblBDTRqgUW7kufiNbK+OWt/DPz34LpWA307VphjPDbBvZFlblTQ+fwo4T3thB7DWTReEu3h3TRuNEgJf2GO/bx+npWNWjYpBks1TX9sPdsVepQrENIKkyf5liVQySVpK2Av39pDJpoMS8NBnNtbujn/AS+Pc/h5ndcOQesnmLhVmHdGCGJpHtUb1FWHXsGljDPnnr7SqsZEVpkvXjsGelFe7a49FYFAu9pbmgyfZkjhdqzFpSbImFyAep6aEXlAZJLLqO51OVDFTG98EwOhpvhgBJumiXE1lmlhBohzG8ib7kV6AGgZWjYNeo6xav+6MLOX/LMo48Ot/BHLWEppFs5FhWWs/hvT+Cb/4plOTG6Zcfwz7yTFh3MVZCXjfXp+F4pKwYyFHMr5mhGjasjWuQZD+2ahW7XicX2GhBgKtpVDSddg/8OINUSmQ7GKSyXeZfdv0LAJef/i7qxUme98v/Dc4YVb+frD7PWOYxjEv/uWtLJSXSrlUcFuQ9lqi0SgcUcJkzDLCyODLFmpDVp5qm0Ze2mKvalBoOZlL6l1kZ4XsCopBGpdikS7rRl8ednCTr1HETETO4J2hyVyrJtuIqDOJWB6LIYiGZY2ZBGelqTC5Gwvu+Cy4g8+zzePCmr3LPzpu4qXoPOwaO4Q83ntVx7uiGuN+r01gZVVHqYuUEqB/2Gy06yrhI2zfTUaNar0Fy1Ur0ZJJMQhxXzfaoSoCf7SqsD0jK+8M10yTq4hnqEGmXRMHAcb6O5SgPpBKJ9espvPDiLt/79MV/mUFqNptcdtllXHXVVb+Gw/ld9AxJOaqeXTWnxtRB8ZDvSzwMQGFBPJQfvV/8faZic9k1t/PYEXHTxXVInh9w275Zbrj/CLftm40BJJFiMxMGAys6hdqqYifTCJhv26mp8B097NU1o/X2NQnBQYyqj/d1ssYEk+NOTKLbJdECBCi1NesNv2+hiYmG5juUk9M0FoTLrldfSW3vu/HKW3o2O8xJ90tdM8gWJIjswiAB+JKmT3nNjt1QUTFIiRSuLUuJfTtkGRSIWKw7+BLoAqSVTX8XDVK55BOgUWiWIQjoT5qcXm/wgmqN0+sN1JH5fhCxB918YoIAw21w/KFvdx0/NcUd3HSQQAtam99K7UhcnKwYpKDWySBlAvH7VU3D83w8BRbnBaNojo2Rk+mLhYacZNvNFJN5OF4uePf/C9kBKS410wyb3dPF+34oKmHvG47SqHuK4nquHw8YtxLQhYFsyqolS/fCoYvrkFpSbFam1QcpNIoUz0k5xqZkpKldjdbjrUuAZFXE5qaUzDK3lEmkiuJqDMnYNaXmLe079L/5VZRuvJFq6cn5yWWcPg7t/EYEjmQ4nkxxUEc9Ju06pJD1NNMkZMPauAZJ7+sLKSiztEhBq4f2DVW/tcLOdTxceW9YTpVyIh2yqyq+9ujXKNtljikcw/lrzufHwXbOtf+Rb294I9+y1rAi+TC6b8Oa7hpSBZAaVYeS0i8uLrS8R435rKETGGlcTyyNiZg+p0/er6W6E6XGzUzURiaWYgttHHIRg0T2IT5+98cB2Jswef2yUS782Vu56fGbIrNMOScuxjYLrh/wtn+5lx/uEAzNTY/fxEXfeQGvm/oonxy6j51rdLTMOPfP/bLr+ZMTTHxCghWn4dFMi+9fprWydfFNStUwQgbJdOskNgoGSnm/1WyX6pxoY5XpId9I6PI3zQxmoweDJO/BTUaOtCsBrF0h8RRpnv8j8V8GSGeffTa+7/P//X//H+9617ue9OcefPBBLrnkkv/qz//PCblwZiTwqLm10Mhxf2InSSz0qQUA9rTt0aplQbHefEA0BP3hjnGe8ZGfctk1t/P2r97PZdfczs2PCZpdMEhiVxvqkGKGkXo+ctOeN0y6NWn0XQ1fltPulGaV7REEQUTPGslwp9HNC6l5dJw+b56CnGQX3SrdYlYaZmZrk0wV0jiLggHRrHlGKpWHOgAA6UtJREFUC+klmx1m0mJhyZoFNFk1FhefG4aOIfsVqW7nGaeTQeqTQt9FM4kjWQTds8P2CUVpbrhYc2i4jbDNQTbdCZByAyl0U8P3AhrJfizf40XeLQx97jTR6f6bbxD/f9UW2PldxvcsSPagl/WvhmemSM0+zimT3ybb18rCBCmdGzI2BwfEpNcCkHQDkoVIexMHSHWxSLYwSBIg1TTCPmwA2qwASNboaLiTLEvBbF7psOJxiizc2PFNcv1SqJ0oMOp3ljK7jktw790A3DcSAaTd/YIRXD8eMK0FNN1OGq0hG7kmrCDUlcXdtMM+bKEGqRGOgwJIvjTCU4Ain9TJSFBfa1tAqnIBNRbFeJSsDIu2FF8v4fVTuukn1B8Qv91UxQRAenGWI29/B8EjD/X8bDxqVonDZucGxwnEvZ2oH6KYEvd7PM3m+A62bKWTtTKxKrboudU0LWSREpVF+qiFDEOlzfwvdM8PfAyvSbmNQao5Nb748BcBeOOJb0TXdO47tICPTvGE5/LzoVfyoL8OLfBAeoC1h0qx2XWXRVkt6s3PtbwnziC5bjI0y0zkIoNPpbErNZxwc5c202FTV5xayCA1a67YRMj5Mm/sZTZzTQi0VUzVprni51dwxwFx31pulbKVxukC4j/4vZ3ceODHXPHzK1oaVQOgN3mw+UluevymzgHIiRRzIhDzuN3wqEnh9UjQClgTeiJMK1V1A7sWAaTkBgGQ0nLOq9oeVflcZHsYvKZkBsE101h2E933egOk1DBpxSA5ZazfhCFzW/yXAdJPfvITLr30UoIg4BOf+ASXXXYZjtObx9+7dy+XXXYZ27Zt4wc/+MF/9ef/54RKsUmAVCnXKU2LhWk6d4hnpE5A81w8TWcu3erT5DUF0Hho6lF+8OA4b/3yvYwvtu3kEJO7SrEBoQ7p4MOz7L5rgiOPzqNJajbbEG0/uj0WvhsxSKUe7q9Nr4knmaCMmY4xSJ1eSM2jRxmkREFWxvVyBZ87KstIq+OMHreJL7zqRejo6GaVb/7JCUt2gk4mxHik9bzonA4d1XmKRWpqYvJMec2OktWidMReNM0Yg+SEi2jcSVsBRA2NlCqRjaXYdF2jMCRL/QeEuPofvKvRym1astI4XP9aqg/f0vP84uGOrGFg101s//c/aRF6nn37XzE88wBlqTMKK9hUpAsRg9SMUmx6XRxzXwtAEte9SnRNDUvHmxZpS3PZWAiQSrJiRdH7LbH2mdC3EhqLZF1hbthMFhlqE3EC3Pvj28jZNSpmit3FaPf5WGEFvgbFGgyU4cePdmp01DEmLC0EvdVeDFIiiyl33k6ztdVIEETeQcNJP6w8rdHKeiqGwZwT17KUyFJyRPqyV4ot8Dwm/+7DYQVTMxG5hgsjUI2H/r3TJLD1SwISyQbjffs4ZHUuwiFACko8IyHGKS7UjnuwZaxc1Cao3np+SoeUqpbo06rhAlq1Wzc3qrTdcutoBLKaL1o/vrnnm8w351mZW8nz1z0f3w+4/6A4/62ri6wfyfFtT4qyH/xa11NWDFLgBpSlSNydn295T6hBMgw8x8KVWikrFSvCSKkKVLeNQZLMp10lmTHDjVStZIcC/kLqvq7HpjZINzz874A0iUx2PgcBML5Y429u+3D3BrtyT/SROz+C57cx7IpB8hfEYTbckEkbaHPH1jSNfCCOv6xFG1bDbZDcILR7as6zXZ+K/N3uKbaIQVL92DJus1OkrVJs+bWklQbJLpNY9d+AQUomk3z961/nHe94B0EQcP3113PhhRd29Cs7fPgwl19+OZs3b+b666/H932Mp7Fc77c+FIMkdzaLh8UEa+cq2GadYyoCbc+kCvhtAk9fAiTPnOJd37iny+MVoJliwRn0PAIpFlWLxsyhCj/+3E6+84n7+P6DK5kaOplsEwItoPyST3V8m58YDjVIJcftaH0AUfUWiCqQbuXCqtTfmZhgUCtFDFIPgDRzRKZqquMsP/5UnrlxORv6xa7n0fldXT8T/lZCtT3pCycU7ArEyoGVDqkWiHPLuE0ybQ97UZpMLpgmTk2m7TwbXTJI8RRbKHa1MmiK2m5bQFSarS5ZELdpdOGHAiAge98nljxHFcNnCDdezbFbhJ7phRn+8s7r2LTzAECrSBsg3R8CJM/1ISMWBqPRySBlQoDk40gmJpEycKWLtjU6Fu4kq8ocs12DBMJqWrJI2YW7AOGFNNgsd7y1ecdtADwwvIFAM1jl6BxnG4z6SbyC+K0N4wH75g91fDbsFZfSQ+DWDSAVkgWwMi292FRlJ56HX62F7tPDKS8SafvRom833LAFTUKW2JcTGarSQqFXiq129z24ExMkZHNb30jgytYVvqaz8/g/YrLvhF6tusJKhZNGHibQAsZNk3iNWuCDK+9fy6iz0mplxCDWP1FPYCWyUel4I/5NkQ6p2KzQR42cZNCqbexvqD9yomo+VeFpezZf2PEFAN5w4hswdZN90xXKTZe0ZbBpNM/GkRzf887Gw4Ajd8PM3o7TtlIGmswX1mWlqTe/0PKeiEHS8WwjYpBiqXXluF9qOFEPRSvTwiBpmkYmFGrbIYOUc+o9id2AAE9VeTrdARKAkdnPvL2Ei7TW3Qg3ZJCkftCuuyxIwFJwOpnYrJyuq1rMdsWtkZQ+hekYa16S45TtYb0QapCkd13GaZBLtukHpbh7ZXFDKNJOOGWslf8NGCQVV155JZ/4xCfQNI1f/OIXnHvuuRw9epSZmRne+c53cuyxx3Lttdfiui6apvHKV76Shx56cnTw7wJQDSJleqd2VEw4R9OPAbCsVAREi5H2CNw+Ai+Npvk0tPGO19FtNClQHvR8qM+x755Jbv3Wvo631po6O064HM04BYB5yWygW/DSa+B138d/4dV40qzP1URFUMf3xChqw8zEdqKdDJI/OcmgVqJPASS7O0A6ckgAu2x1nJXHnQbA8QPHA7BrbmmAZFji901ykMxFzUVjLJKaLGuyOs3yPSyv9dwK0u9mUTewF8XCb/h2yCAVJIPUcHwWpBNy1sy27ELjJcyFYTGR1eQO11/Cw2iZfi9Zfaa3Tww+OX0a4wfdd9qqpcLv33gEzQ86GaRUMUyxiX+LY7ZsARZaUmxSe1PFiybZpEHjUcFweNUq+YRMw7kSIHVjkABOlgBpTgCgZqJAX73zHijuFLv0vSvO4U2lJK+sJrmkluCV1SR3bnk/U0Mns348ALPzs3ZT3FvJtBECN1Xq7/leqNE7VD6E16JB8oQdhSXLwMulkEEaSnhd+yeqJrWmpWF6TfxEkqaZoC53+L0YJNViwfBdTCmOPbLsbGaLx7Jj8+uZGtmG5rs867QmF715S2iNoMIM6mx5+BrWWwtYUjQ9EUuzeY4eAQO9jp0S1z+eYgv1R1YWrO7PLUQMUqFZoaDFUmxtzF9YwebWCDSNqpVmodbkrom7+Jvb/4ap+hQj6RFetF5o0e6T7NGJKwuYhs6GkRwzFLg/sVV84UPXd4ybpmmhF1JT3mPeXPcU26xh4DWjcbBiG6CIQXJaHfBDDZLc8Mg0W3WxGTJImSeQhiU98R2CQepuhKuZXcwTu4RqExSGYpBc8Xe74TEjme5cs1OukJfzR5mA+pQAVYbXJLFurThWUw91nBU1Dr5q5tNyxCQlg+SlZObBbXT0YlMpNju5Cl1CEsup/PdgkOLx9re/neuvv55kMsmOHTs49dRTOeaYY/jkJz9JQ5b2vuxlL+PBBx/kX//1X9m0qbPz9O+iR6iHT2pc7Elx6Y5mHiOfyHNMUzyUk10AEmh4DQE29GRnvznNEA9e4CfIBAGBD7+8vpfztngIyoOXogUaCzOS0h/aCCe9HNadi1+rhwySC1QanQAp6kGWASsdPkh2iwZJlduXGPXmRBNZujNIvh9QmxavZ2vjJKVlw/GDEiDNLg2QNLkT1gMJVPKSRSp3VrJV3eixUfobFQVNptB0DXtRnJOBH5qb5ZNmOLlMV8UOXVTCyEk28MCNZtOC9EKqJ6W3zBIASdd8zk5/Tn5PK0gKCAjQON3/It5sd4AJYkIYLHuibUlHiq0fg0jU6SmxujzeFoAUam88bMmWBIcP0NwprsPcNddwyv/6Q84++hB12fahK4MEMLgeVp0Z+v80k0Vy1VaG2q9WMXftYGroZFbmTiQftE7WTaPIjhMuZ0XpZLLZzoXGli3bE5lEmGKrNF1uevwmLvjmBWGj2vf+6r1cuOvT7EzJtj5NH03TYm7a5TBFNJh0Q/FqPQaQVIVTOi1+08sLdrEpHbJ7MUiqxcLU0Ml4ch54bP1LeOCUtzMzvBV8lxMfvoa1WwZZv3WE1/7d2RxzimABd1ou6zJ3MjLzAK6dZoXMjR82oxSSb2sRQEqbHC0I0NGNQRLMSTry1mlnkKRZZNGuMGjERNpODwbJreFnc+h9O7nLfxev/9Hr+fZeUUxQ9+rcfFjYydx3aAEQ6TWAjSNi3L/WlALtB7/WdYOgvJAcpUFaXGzpCq8crqu6TqPudwdIoQYpSrGlzXRkkCjnaGVqWlu0Y8a6HYfUenyueJZ6MUga0J9cQrwfi7A9kAoJkCxb6N2chssE4hjTjU6AFKZD8akdFZvOZMZET4g1RtM0MrKqMQTMz/zzFs8l8eX9JE99GQCuPKesU+9ZxVbXBdNlOhXQg3CD/JuMX7tR5Ite9CJe9apXEQQBU1NTVCpix/CSl7yE+++/n+uvv57Nmzf/un/2v38oDZKkc70p8bBO5w6yfWw7y5qycq1LryOI0mxGqhMg6TK9Frg5SkGGcft4qotL1INrGl6in2Wl9SzMSUp7cH30W7VaSz+ncheA1EpRx1Js8Z5O+XwoBB6tz4UptlKzsydTabqO5unonk3KnsNaIcThJwyeAMDO2Z29zwcIJEDDkwApp3RI8XYjsqltw8eWTJFfa6Woi/KRWtQCbNm2wTQipZamaSGQaAFI8QqueKm/BEhVS0yOXnPptPQKbx/H7L+ho4qtkljg0Jp/YoX+2JKfV9Ff6Z5i0zQwDQl4EuLY0m6TtGWQMKPpJOtJnyffZfEOQfkbjVZgYs6JlN4Ju0QrhbzVfecMwCl/QNYQu3470UeqtNDycvWuuwhcj92bXgFE5plhyLRzs3Apk4udLKrjivcnc4lwAr9n+hdc8fMrmKq1enlNOSWu6Rc7cCXED4XapcUQUAxYbtiGIp5SrkkGKSVN9JCfdZQOsAeDlDntVGY3nMeOEy4n0NrugyAAzcArDIStGHRdY2x9MXyLNSYWSndyilUDYnMa1yEJBkmm2DaeSz4t9XRtommIMUhhiq1dgyTOodCsMmDWw0W3l0jbdGo0swlSK76MS6s+qGyXueLnV3DT4zdx30Hx2tZVYiO4diiDoWt8t7kV38rC/AE4dEfH2Cmhti/bbOD7eDEZSN7KY8l7plqzezBIURVbrxQb0JJiM2SKrb8eoPVgdrUgoOjEGaRWgKTu5A9e8EJGM73bYQUBFBPC9qMlVIqtKZmahsdRTxyjVe3cLOQkcKzg0ZgRoD1VaO1eoKQFNQmQchueJzyXXvd9WH++eNMJv0dyvQDZrpzfRPeBGEAKgpBBqgXinknYFUoDqafVMbtX/NoAkuu6/PM//zMbNmzg2muvRdO00GhtcHCQ973vfZx44om/rp/7nxeqzN/KkrbzaJUEAQEz2cOcuexMvKPiJpvM9Hfv5C4BUjo71fm6pG4DN8eiXqDqd2OhOiPj9DGvegoNRv2t3HI1nMBdoNLsbTYnJtruIm0QYl6AofpipEHqkmJ7bL/YhWRrE1jLl6HJnfGx/ceioTFdn+6knmPhymoLX1LdEYPU2bC2Vneom2KC8autO7CiFDguaAGObNtgGK0jrgDSnDSry5gZUXouJ+XWUn/ZzkPrI0DD6ckgadC3gsboi9HlOI1au3he4eNsHP1r/nXbB9k19BDmeW/qOQbxqPQlOgGLMouUAMmXACnjNDv6omVccR1rXpPZG0QxhuG1FgaolN4rfrYHzQ86y/zjccJLyEghfaCbUGoFptVbb2WhuAHbKnSCo/AHNezkAN5DnbtmOxD3S6ovJSdwnx9NXN1VEBsAruzk7qpKxZhQW6WkipYTaZBioFcxSKoPm14oAh6+1Gv0FGlrOrvXvSg8l/ZzA3h07YsIYhpEVfnX52skl8v+hpOTrFwmQFQLg+REDJK1cnOYDi7FNjhhHzb13MY2NnFjTdWwttCsMKDXwibE7QxSJNKuMmFKwNLj8n34zr9n96R49hWDlDQN1gxkaJBketWF4o1dxNpKqJ3AwE2rSrYIiGmaxoAyN600noBBaqtiWyLFpmxRjquI8+wGkgJgY90Mx8EvtlYxjhVSfObV23jBiSt59+nv7j44Ms4bujz0RAtDpdgCMb523eWgtHMwKp2bzZyUDVR8h8a8mBdTQ63O7so7SbG/GSsjKl3XnQvbXiPedOhOElK3pdr4ZJ1GK4NUnwe3Ib9LjFXCKXOk0N3K5emO/zJA8jyPz33ucxx77LG89a1v5eDBgwRBwMknn8ynPvUphoaGmJ2d5bzzzuPGG2/8dRzz/8yQD1/KyLFpajsAlcQ8rm5zxrIzcCRAeuULT2eskGr56Fghxf933jMByOUFZRqfg7SQQcqT6x8lq7fu4HpFzVxkUfUUigEkuxothK5GVwappQrESsfK/FsfDEu2TSnWK2EVW9Nr0nBbF9sde0TFTbY6TmrduvDvGSvDuoL491I6JEeWwLq2nOxCBqkTIDXrLnVZ5dIOkNQ0shh4OKqfk9UDINXK4TECHRMtQH4giW5oBOg0kwW8rgBJfv9Ff09jzmCxIETYxyTv5Nj0rzjeepBACziSTJN66Z+E7Ui6hQ/M5GF20wha+3uUWaTUq6lFJOU1QwGriqxMu63YX8euiv82264ZqJSew/GHgu5l/ipSBTjuIlLBAgB2udW/pXrrrTRjrV6WiuTjreAqCAIcKbxP9mXIJg2MzH4q3my3j4vfN2WrmLo4pyjFVgpF2gXTjarY4gxSWx82o7+IZtRAC9DQwp5+7TG+e466k+x57dA0XD/N+O5IX6MMXvO+RnbFckC07lmVFQzrIcuC530ILv0c/rnvi4BBymhhTFR0ptjEeQUBoRgfwByUDJJdoajXyAZPwCC5NRZSbs9TCwiYqk2ipfezophmtC+a4zaMCMblvqIESDu+1ZKmBkhKDVIq0PBlwYTXVsk2IDc3drWBq5i02GKeD8ejLcUWc9KGWIotxiAVGwFXTs0w4nUu/H2+T1oxSE6N//0HZ/OVy8/kH195Cl+5/Ex+9e7nhBW4Xg8PuLQ2SOPIqyn42zpftFKQKrQUwhzxpRN9o4HfjI1VEJCT7G/Fd2jK1jOZZa2gXaShAxrKqsWMbW5WS8PKyR2kTGkLIvvVZZx6K4OkfLgyQ9TrAjxadpnDeSfs7vCbjP8yQNq0aRNvetObOHDgAEEQcOyxx/LVr36Ve++9l7e+9a3ccsstrF27llKpxCWXXMLnP//5X8dx/88Lu8q+xpn433sGZx4Su8i8PcBr7vtrvH1ZHNkA9Kyzt/Crdz+n4wF79bYzAVh0Zvj4Kze2gCjNEJPWM45ZR//QMpYldpHNdoKaMIKAZGOOxeQ+5qUTcBwgKeaEQDS87AaQ1ESbttItVH0vBilXq5MJAky5O27XIY0fEotZtjpOYnWrU/KT0SE1fAFWmrYcF8UgxUXaEiA16i51KZZvT7EVZDZtMXBwZDWO2e62rUr9mzGRNkRahtguWzd0+lSpf3qYRbct7QWic/fLvwibX0TjkV0sSIC07MWvh0s/x9hl30LXdOzAZdaeZ/S97xGf67IaacAXnqczlB3p/B1pRWBK9sSXIDHjdjJIWUeyJCU7TNsYXm8hRn9lCZG2jMVNLyejiUWtUYnuE2dyEnvvPpLdOoB3iczkkZZ/B7VauCCm+7NkE+YTCmIVg+QpK4ew3Ugk0u4z7JBBatEglVv7sFn9/eHv9af6Mdsa26qo7tvxpM5vatf94X+HACnQ6FspAdLMDCvL4rk9nEjCmW+DE1+Gl1mFG2NO+mIVl+ExhCaRWVnN10STZh/xNJvRL8C0qmJTIu2eZf5OjXKaJwzNLHOKZI9UKID0K/c4yC8TveX2tDYjT8lnLhUABfH5doA0KMkdt9IIi0ziBrGhSLu9ii1mFAmxFNuiHTJInqNzfq3Ojw4d5drxST4yNcPV45Msd1xKhsGsJgC25dZIDA1x1vpBXnzKCs5aPxhqFptek0/cIypV33LyW7j2wmv5yLkf4doLr+W1q67GLW/h6GKrJjKM3CgJPWqwXDdSeHIu9RYWove5jVAvVvEaoX4ws6pVD5RJGKC5+PLat7C/+VEYOAYISCwKaYNDNFe0iLQVQOpbTr0s7oWEU2aqX+ORuSewrHga4r8MkB577DGCIGD16tV89rOfZefOnbz85S8PX9+4cSO33347p556Ko7j8MY3vpEPfvCD/9Wf/R8X+xaO44cLf05Qa+1BlW7m+dE/72AiJTRA1rJlGLrW8YDlEjlW5MSucfVYiV+9+zn81cUCOOQy4qHaumIVZAfRNZ9ztz2+5PFs3PsNMs2ABVmB1AKQamoh9EDr7IwO8XYFWTBToctrO0BSbtqJuoMG9Mm0TzzN5vouzqxsx1E9SmJ1a0PWzQNC87aUDqnuie9rNOQsrRikuEg7pRqvumGKzWtPsckdYgOfZk26M7cBJAUmys3YbhwiLUOPUv9aegRD9ak65dVw6edEzv8dD8HmF+E3GiwcLeMk+tANjeEznwEnvgxr/Xksy4pxPFI5EvZzMkdb9Qza6Ch//+zt3LlJbzWJVCEZJEsyHyHb4Hv0J1rBlmKQprMergST3RgkFfO5JUTaMiYHt2MZIiVQb2oESkx6q6huG1uZ7Kjcag0B7Fcc3NkCWLxKJUwBJIsZMkmTwF2CzSICSIEUd4cLYUyknTfsiEHqkmKzbHEuycH+kMVdyiQyazw5ZndmIQKAetrAI0BHI5krimo732flI8Iy4XAiSSBTMn650pJaKsRSSuGxt2iQ0mgaJAxxrVsqUCWDVGxWyFONRNq9yvzdGpVW4rtrBG6erauKLX/bOCrum93TdTjx98UfH/xqy3uSWQWQNIz+qJluPAbksxs8UYqtvYotZJC6VbGJY3MdgwANAzi90eQF1RpnN5q8U9oN2H4uHAdzqHuK9Us7v8TR6lFGM6O8fsvrOX3sdF5wzAs4fex0VhTFMUws9njGcqNYWnTPJ9CoJqWeNQ6QnEhQ70/Ph03HOwGSiaZHG55wDlMhWaTkrDDAdDAJ0OjzGiTjBqVSoE3f8nDjkLDLTBb57wGQRkZG+Md//Ed2797N61//enS98yuHh4f5xS9+wUUXXUQQBPz1X/81b3jDG/C60I2/i87wPZ9fzsrGnW0JeqW32LPhZej9A+jp3tuwjUXhY7F7fjeGrvHMY0W1g6PFqmekMHf9wD4uevOW8GFXketPsm73vzAy84Bw09Z1kf7IRA+1qwCSJnciS6XYpMgx2aNcWLlp63XxXaqXUZxBenDyIfpq4riztXESa3swSEuk2CqOWKyqDXm+UtjYmmITO3un4YUptqCNQcq6NqZkDZp1MQ5WG7ui+oiVlfBeLs5RqX8bKzUcMUiaZKXY9ho48WUi5y8XuObu3Szm1gLC5NOM9c9S4Fh1cO+74AI2/OQmVl93XdgQctkPfsjtG8RCP5DqBpCKAJiIidbTIqZjUG99ljO2eM+uVRp+TgCrdg0SqJSexq5V2hMySAsNn0kJtppmH97tX4b9v6R6y68AyJ19Fue+YmOPT4sy5I17v8ExkwHjixGI8OMAKW2RSxp4tXUkGeipZ3Ll4hD44Hl+2KPQi4m0c5pDWmmQuqTYEg0BeFJDgyGLW0j0BkjLNg4IG4eu9qygbBx2xawnFhoOZV1SI3UfS1bCDT0kQGU5cClJoOZXym0ptsgYUUV7mT9EAMluaVgr5oOU55C1K5FIu73MvxYxSEFfrqOHoAoNDdwiXm0dW1e3aiQ3DIux3zdVgZNfKf64+0dC3yIjFabYIDEoPt/uhTQodXNB1SGQVbhdy/w7qthiFh1EKbZ62YGsBEi23tV948JqnRPrNglPVbFVw7GLx0x9hmsevAaAt297ezRnyFhWEP/uDZBGMDQXQxaMJNFoyHYjLePgRHqx5MEpHOmXlOxrRa+ZhAHyGUib6c7myqtFxiI5cav8g9C3Ffw2FjnOIKnnwikzWdTYPderkvrpi18Lg/Snf/qnJBKJJd+XyWT43ve+x+tf/3qCIOALX/gCF1/8m21E99sS449OUfWH6KleBJqpAcprTl3yezb2i8VD9WQbyEoWBEHvD6YHI6BTm2X91hEue/8Z4edf+Kcn85q/PRurIvvvNGHR0GFgfUu6xpELhKZJP40uHcFbd6KpMMXmOb4wIZShSj3dmoGPTkHusOOVbLfuugsjMNG9JqnGfAeDdNzAcQCMV8eZb3TuwutuHVs+uOVqUohN810YJDlZurZHXS4k7QyS5jZCvyZHitPbAVJBdqJvWWwgNtG2LiKFETFJ1dPDBK6Gr+VgRee1bux6JNQfLYtVLwFhk+LDlcPRsRoG2TO2U3jhxWTP2E4unUSXqZ4+q8tCrTRIgbxWnoZninMb0NuArVMn4QcEukawWVQSmu0ASRPw4/PPtQgky7lULNRsqnKxbyYLeF9/J8EXXkj1J/8GQPacc1i/dYShVZ3fo+Nx4RuPp6/8EEkXpnfeE77ml8uh028yY0qNhM4aLuvuWowWMkggG9aGVWzlUNSc0RtdGaSwD1tZpIUTA/1YCXEv5K3eBRL6unPY1v91lG92a/iAxub817nuyLLQnHWualOWz2F1vhk+T8ZijWHpcn+oLIwzvXIlbKOTSJqhrqxbii2eWgr7scWAlJ7N4Mt7I9WokVPGoUuU+T9j80Vdz1tDIyCgPvFCLMPghOWtWrP1I+K5ma3azGY3wOgW8Gx4+DvR8chnNx1opCRD0+GFJNPCRixL1cog9ahia0uxpfOWaHjsBzi6AC5GEPDw9o+H1ZThufUt58+O/7Pw36bhoWfb2Bjg/973f6m5NbYMbuHiYzrXzWVSMnF0sd4ilg9DCbVN6RgfgJOVrGecQbJrIZjNHp4L74dkm8ZQMEjiee5aXLFa2C6Y43diWOKcHTND3mvVDsYBUk2CO8suM1WA+6bv4weP/YC7Ju7qdAd/muK/DJAymc6L2SsMw+Czn/0s73vf+wiCgB//+MdP/KHfBdXZzrYK3cId7N73TEUIkOYFQCpmEuhaJNIeTA9CVjIHtZj/hazCGliWRdOgIh+arGpYG0uvATgyDaQqkcvdUmwtIu3IcA66eyE5NYNGoj9kkOI9jR7ZewCAXHUczdDDEn8V+USe1XkBmrqxSKrPVuAb+F5CdGJXKbb6HLhyQZMpNs/2ezJIODWKUkyuWo2Y2dbdl2KQak5skoWOcmEVqtS/Jn2J3MHTwGhzowUau3ayWBCp1rH1rVUn7QxStzB0DcOSbT/MLgBJapCsQNwvTtPDSYpz6ycGgoMA3HoozLX7xOeMthSbOTrKx895HXcdL963ZJk/kNv/77zAFM1om4kCbl2nuWji1UEzfNKpw8wcrjBzSBzf+a/fzHnP8wEPH5Oh1QWmV4vfqD74YPi99kI5tKVIpM2wlULKOYXXbX5dx3GMZkb52Pw8uvShdpp+aAjolcshg5Qh0iCp+z0IgpBBshYFO2kU+0kmlban2HsAdIOfjZ3JhYV/IKu3Lu45fZYLi//Av6ROYrbus+OIYFgXag4lCSrLc42o1L9msFL2clP3hF8uP3GKzW1NsQGxSrZYzz1Noyn9nax67zL/eBXb5nVnkHVP6zjt0cwol635S9zyFjYv6yMVY0ZBLNYr+8Wx7J2qwEnC6iFezebKOSwVaGSGJUBaaNMg2Q10P8Cwxffrhha2DYGIQXL9gIrdO8WmGzrpnHhv3dZDrY+dP15Qjmjwks+E6fHjjv8jQDwflUzQURzx6NyjfGuP6DP359v/vJOtgVC03nD8FkAbhir1l2xfMtAI8l0AklMjL69V/kgp1OYlOgCSEabYugKkwfUiG+E2SEo7C9dMk2tPs6u2SX0rqC/Iql/ToZ7SmKhO8O5fvpvX/+j1XPjNC7v3mXuK49fug/Rk4gMf+ADXXHPN71qNPMnIZpYQTMffN7REmTRRim3vwl6CIMDQNQayiVAgGk+xIduNaJoWPuyNikPD8anIiTHThAVD7wBIrgREClgtaRQpq2F0zQ+ro1oa1kqdjO/oNLQIICkN0nxjnuqUeH+2Oo61YgWa1QkeNg/21iHNN+VE6WUBTTBemQHhDg5hmk3tJn3b76lBwqlTkLsdydhjtQEktfA0vLYKkCeRYgvQ8Ard7TLKj+ynKrVGy3oApCOVIx2fi4cCSBmjC5OhGCSZYnNtn6Ylzq0Qb1rhORD4oYu0Sr2YXgOSSZZ/9B9Yfd11bPjJTezYGHmiZRNL3L++x9aHPxx6ITWTBdyGQXVCij9HbPSf/CX33yi0cxtOHWHT9jFOWLGHlQnh2P/YfdNU1ovxCXZF9H1zIVq0E2kzrLKpNL1QhPrsVc8OBbE/vPSHnO8aUV+6WFNS+7HHWHVwF3rgk6IZjkHdETt7u+6GDKkxJ66FUSxiWDLdqhd7jwHwXftUPmqcySvWvI+X9P8lzyt8nJf0/yWvGfljNrzmrdQ3vACAm3cLS4v5mh0CpMpcIzSbdGoGqwaFF5JiFb2eKTYnZCXaRdoACaR+sO05b0iGQqu7XY0igyAIGSTLqWEUi+iGuPfPGHhxy3jbpS0AHek1FUqovXe6InVIGhy8TfgiAQ05Bhk0TKVBiou0PZcBt0m2QeQFlWwHYkYomA6LTFrK/GN96lQlW9mhnpDPyPTD4sXBDXDKH4Tp8WY1YtEmkw3umrirZYw+etdHCQi4cO2FbB3Z2vX8U5bBoMwIHF3okmZTDJLUISUCwvZH7Rok1TZkYNILGS/lIxWeX9IAQ1a4mV1IEk2L0mySknOtDNl2gBRPscnCi8lEZ/XoVG0q9MJ6OuM3ApAA3vCGN3DDDTf8pn7+typGljnUrPmudD8QVpWNrl06RbGmsAZTN6k6VY5WxY3Znw3CNiND6SHIqhRbtENN5cSDV6/YVG2XqqUYJNmwduCYlt8JvWHk7qtrmX9c5KhoXKVlaKHqszgyfdt0+uiTpdxKg3Tb0dvor4mHX1SwtabXVCxVyaYYJE26aJfqrnjAVU+2ijAKTMgy38D1wyq2TgapHtoR+J50Z863TiCqis322xikcKJt3WXnB1P4BPhGAjvRh5taR3sEnsfUpCwv7zdJ51tT3mGKbQkGCQAJllPdFupEFnQrbNTqOh5NyaT1BTHqXKYfFGugqpsMr0lq0yYKl1xC9oztaIZBOiUZBD2JpXcC2zAev5Vcc4qcMotMFnEbegiQsmNNyvNN9twtwOzWC+R9MLOb9anbAXjs/mn848S9mtoTjUN9QRp64qDrGlkpqq81XR6cFkzT89Y8LxTEGrohG9aK+3XhF79i8m/+VhzX/v38zS8+zRd+9Le4Dz0eptjcwMXxnUh/lDZhXiwERn8xNGtNar2tCoIgYHyxwY/87Yz/4R2seNNHOPaVf8CK/EF0HNB0nnWsYAp+oQBS1Q41SOX5Jpb0GnKdDCtHxWKrUmxuuRo64Mer2PwgKrRo39gAJKSHWHuBRS0jGYqGHrUacSoh2HKaHoH8u+nWCAo5qrpI3x+beW7LeLc7aLfHRgmQ9kxWhKPzMc8SLzz4dXEscu4UIm2pQZqLASSnyoDnka8T68PWCgo0TQutD8L5q4tRJEA2rGRrUpV6ocyMBOWjJ7R8b6jDcmssZjU+dtfHuGP8Dn7w2A/47EOf5Y6JO0joCd556ju7nrsKVZk8UepSyaYAEuJaJQINS3pVdWOQtCCgf14xabToGcV5m0szSBAJtRHf75ppMk53gOSmloVmrXO5zgpStfZ1bcb7FMZvDCABPP/5z/9N/vxvTdw/cz+/XCco1naQpP69ce83OJztbDwYD0u3OEZqVFSarS8n8756UjzsoQYp6umVijFItaZHNcYg+ZpGudBqMa8AkhFr2dAerYZzSuzZqWUAsLNiwnKdbIdI+5ajt9BfF7/frYJNxVI92RSDZCIm2TClEJb6Cx1SuKN0Aho9GaQaRVUFEoj3J/qeACCpHVhY5t96HQ1Dx5a7tVp6GNfrnJDsAwdYSAkQtGxTp8BaMUhTtSnsdh2AOnTfIdDFBGpR7HyDpkG6GDZqdZoeNQmQcvHvlKlDtRN1ZZ8z062T3NjKNqaSYqxTxtLsp2LxVGrJtnI0qwlq0+I6ZEebPFC9BN+HFZv6GVkjgcbMHtYl7wQCJveXsI45GYDCocXQ/6VZkmJ6TTKRIYPUCBnHk4dPbj2eRBZLjsP4xz/ZWTLeWGTyS/fjHYyq6mpOLQRImbxJIH/fKPYTyHY/Fq3MXzxKdTfsD7d8ICcYiK2vgjPeLN5w26d45rHi2t93aIHFusN8W4rNrItF2gkGWdknnhUFmp1qJKC1kgapmDu60lW1O2kDJKSHmN3mpl1NS+F60wgXUdd3sX0xBiq9pvsOuu+w35/Gp0ngZjC8aE5pOB47j0qDyFVLM0j7puXm4iQp1r7nWnjw6yRmRDWV5StjzrYyf7vKoOeTrxFZHaQ6MxwKNNYlEyJ6scWeW/nsR5VsdrihTEzJ3pajW1q+syEBkulUqWR1ds7t5I03vpF3//LdfPK+TwJw7opzw2e4Vyih9ng3obZqNyLNIpOBqJ6ELgyS7zO0CEYgN66Zzo1LNhml2HoWV6wRACnhyBYnZoaUHTu2RgmklrSuiXVH812mit2tCgKC7s14n8J40gBpZmaGyy67jKGhIfL5PCeffDKve93ruOqqq/j5z3/OQnyQfxe/1piuTbJ/8EFuPPZafK0VPFQSC6zddw0jMw8wV3jilGW7DimTFjdjSO2rFJvbiNqb5OWkUHaoORGDVGyIyWC+rf+b68gFUQKKbhqkelx/o3aiodizdaJ1MzK11UyFAKlkl/ADn9sO3U6xLtIG3SrYVCiAdKh8KKzaUaH0TEnpRRIa4ykGSQq11YSpeUEIDLoxSEXPhyDARyy0iULrBKJSbB7NaAygZ5k/QEL2IaunhzsWY2gTaG8sdrw+mBokbaYJCBivdmlYDMxJT6sg0NG6gDAA0v2xRq0+VdXN2+8ESBlZVOA1xQJteM2wI7iKVEJ6AulPoGWU1yKtl9ACFzSd2alRAk/HTHkE+SQP158HwLYLYiB5Zg9ZY56xleJa6LV1lNJg+AHNR0QZsS0NPS1Z4aMAUpWDOL5Df7KfVfm2zuLSAwjA68J8qYl1+r4+UtKAsOZGACmdkjoTyxKCZk2ADN3vrcNSHjcD2USrDmf75SIdfOh2VlZ3sX44i+cH3Lp3Roi04ym2eQEU3JoenpNikJqy+lTXCbU3Ks22KBfxdgd8gESXPooApZSs4GroZJIR8FPfEW8zogH3NUXbIre+lnIMbO0cL+F4AYPZBKsGulfpbpA92fZMSoCkG4AmGIpvvZGzb//D8L1upotRpF2l3/PI14OuJf4qxHgENL0uTtoQazcivqO62KQs2WZj5qB4TzuDJFNslltjLtu9QvEnh37yhOklJdQeXyrFJhsiJwKNXKjFWogdf528H7BqOggrO9v1RwDpWBVbR4m/irGTRIVyIMbZNdOk4vKBspyHkgXqttQAygq2pWKpjgi/7njSAOlP//RP+drXvkYqleKkk05icnKSL33pS1xxxRU897nPZXBwkGOOOYZLL730qTze/5ExLL0o9g8+SF1S8Xeu/De+u/n/cP1JH+CYww8AUFizoed3qFA6JAWQUilxwyYUtZ/IhikvJdROSw+RRtWh2vRCyrjQEBPvQtAqCvQc6YgqJ9duVWztzWqBnqX+gZwTg7pOIRExSI/OPYo3b6BjYPpNks0FrB4MUjFVDHdgj8y2+msogJTS++Txyt8PU2ytGiTdC0KRdjcGqeD7JFzwZeNaq9i66BXSsk1JO0BqKxdW0XQ9Rk2hrallRnBnOnP0tZ27KOUFOGzXH4FIDzyRUFs51wZujprdo5Q8VWzR3lQkOEjHnYvl7jorpxffFhOe4TZIHXtsy9dZlnTZ1p7AJXDN2czoQwQEpCVlX/WFliQ71mRn/ULcIM1gfoFVG1Lge/Doj0L275ht4lpW95jsWyaOp/6Q0CYpJiNhiftWGdk1TdG37qThkzpdxRNZdCne940kvcKtmZx8WDb2bFY5ulcce+C5whenWCAgwJUASVsCII1LgLSszSmf/JiwfAC4/VOhfcfNe6ZZiGmQmjU31I04s4usyArjyInqBI7n4Cg9UMzTKqzcks9wC/OrFtAeDWtLScUg6RipQsiUKrPIZjVKLWFZ3Lko0plebR0LtQhw33dQjNnW1cXO6yBDMUgTpQa1B74N33oTcc8AXfNDrzX3sGAg/FotcpG2q1jASPUJAFLabDFIzFiZcByAmJu2eMbL802qaj6dlxWxPVJsplNjMdP9/DS0J0wvqRRbVwYpMwCaEW5CkwH0jYrNcHuKLeP7rJohZn3RCZCyiSeRYjMsWHkaSVmh7JoZrGasyi5ewaYKF+wyU8Wepwh0acb7FMaTBkg//vGP2bp1K/v27eOWW25hYmKCI0eO8L3vfY8PfOADvOhFL8J1Xb7zne88hYf7PzO2JYcZdV0M3yDriMVv59itHC3sZaAihbCWxtaNz3rC7zq2XyxQu+cF1W5aAnAZvgRImtZS6g9Riq1ecajZLhXJIPXJ5zBeOh+4Lm4QdUaHpX2QWqthuu9EjZTyJ/FbUmwivSaqzbLVcTQgsaY7gwS902zq+DOmGIMoxdZa6q8mTMOnZ6sRJdLO1QndeBNtjR5D12m1AzOXBkiVcon1pgB19fQw7mwXEeOjk/hGgqTlUxztvqNbmRMpuF5C7em62JkFbp5qF9YPgHR/CJCcpkdJgsBkXFugUmwY6L4BUotleo0OBsmULTtMnoBB0g0+lXwjABmUDkncC8mRgAdqLwRgq/55tE9th48fB1+JDGvXPyQ+O/dYnceWSa3ZA/eJ75HAICGBgWKQtJTY8Xek1wASWQzJmnn60hYnwzWTdbMn8fOPHGHHz8XYTxxxuPXMDzEzdhoLzQUCueD6bu9U4xHJDKhUSkuc+Tbx/w9/hwtWiPP5xaPTzNUcbA20hJjq64kB4RLguhRrWsgqHqkcwZHPaRwYFGLmiNDGIBkmGImuVWwA85JZcZvCK02lYlQlW7zE3+jr476p+wEJkGKVWGGD2h4CbXWcI/kkOj7mj95DN0OllC5TgXdcC7IHXcgiyWduuK49MYMUs3hIm2lBubWxv5k+8R2VxSY1OV/6zQASeSi2buIaMQZpscflfzLppeXFJTRIugHZ4fBaJdEojgmg4S3GuhI4dSxgbQwg9WKQnhAgAaw+i6TUqLlmBt33Cery+OIC7UXxXQm7zFSxOyzR0BjLjHU2430K40kDJN/3ed7znkcyGe2Wli1bxsUXX8xf/dVf8e1vf5uDBw8yPf300V//U8Jwavzv2XnyzQE0dBy9SUMyScPy3tbGRjCN7i0K4qFSbAdKB4QWRRrUBV4sDaQAUlUsxErw2yjb1GyPmgQ0uf+fvTcPk+Msr8VP7b3Pptm0WJYl2UaW9w0TGzAxtggxJCEGksuWBMKSPMEhEGOHew3cG2yDfwSygUkuuRByL/vlGgiyMWaxMcaL5EWWF0mWZC2jGWm23mv//fEt9VV19UyP1DPdI9V5Hj32zPT0VFd3fXW+8573vExBElruvWoVHr1hGLR7a85RI2o62ImCeRmCxzuuh1SGhvKVzFAX24OHHkR/lfqPSgcBWYYeafEXwYza0U42dvx5jZbvoiU2qiAx06YEwKLHHB01wkps2Tr4eYgmaeuqjGzcAtOkzd/e+xAGVKL61NKDcI+FZxT5vo+JCfJeDK1KNd1lr8rPrSCFCJLVZKea7uUltnrdQZXl5liCgsQIkqRAc4P1Qs+loKwI+6MUOqtJ8edRkAB8374Ud+77fcjTVIGgauKT469FzetDLg9s6N0BFA8ClYnQ7xZqO7BCfRG+D9QGySzD2g6iIJl0nIJOS6iszV9JE4J03uB5jQejZ6HJLFF8boKkqhfg2hf+GFYxrMqZRi+29/82dj5KSly+k0HVjHsGgjHaBs1uhCGMngecfhXgu7hk4tvQVRmHZ+t4gpILPU/Lhv4KqP29AABnfCJQFWdfgs2UX2FWFi+x0U62kAcJCA+ajlznU5QQuXVCkFiXIiNIwZiRCtx8BiW7BEPOwKuvDLWqcwUpkqAdxcbhHC6Tn4NejS8hsxu1Wa5DoY0TUYI0UJeadrGx8yHRJgVd1oOxMJFrl40bqRUt3vXr2hIwvKlhxA9XkJxKU4LEMFd5aaRAPUhxJTYAyA1xgpRXFWh9veS4IgoSAKw55gfZYE0UpHlLbABw2sthsBIsfZxbomVQTpBGUT5CP6dOGZP5IACZgX1902U3NQ7jXUS0TJCuuOIKHDhwYN7H9fc3T4JNcJywKrimWsOHPbKTLRlTPDNyfZ2oHr2nzV9eA0imSF7Pw/Vd7J3dC1cmfhzbEq7MSBZSMwWJ8pamBClD205rtgvHDd8cWNBaSEGiBEkssVVMF3nqk/Kmy7zENlmbxJMTTwYEqTIGbeVKSHMEljZTkFgXW0HvBSBML48oSKou8/Nus1lsooLk+7zElqsDLs0qis5iA4BCWoZEwxXnU5DkfQ+gVyHHUEsPwo4E3Dnj45jWyXlYtTk8EkAEvxmW4wnSMfp+e06hJQWpLoxckevCrpWF6MkadJecJ9m1kN64voG8yQpdzP2550z4vo9Nux/Db//6IehVsiswjV74kLB/+BoAwNmnO1C0Zu+/z7vZsjIJ2fT3HYRbrsCiggC7ESiyhFSqBFmbgQwZ566IiVXQMkgZNDBzjhKbknHRN9skEFeSAAnY+f0pSL4Ez83FNjQwsNLJyt4mZPKKPyOHtv0reOVa8hj2WS4Y5NoqaRuhriTeI2f8CFcV73/2B0H3lmDKDbKQHJiuyYeliqQ+UJDCx35MjVeQGjxIThUlegls7DkXgMw9TxPFOg7N1CBJwHnzEKQNgzkM0fJrHFK0AcH0c1Dz5PzwcSP0mPpq8rwlNokqSCFiEGn1ZyW2eskOFCRLbiivAYKCZNealtgY5iovjQoltmZhkawcmpdlKL29AIiCxMb2wK7B94GRY36QgZSZR0FS52B1qy/lJTaLfma8Mu1S42NGVqFCCVLKkPD/vebvMJQJz4Iczgzjs6/+LK5Ze03zv7UIaJkgfeQjH8EPfvCDlkhSgjaDsvr1PikfnbFmNc8I+YuVfwAA0FaubOmpJEkKjRyxfDaDTPiQNymx1Ss2qlbQxZaiBInnCIEQBkYM0sLOoyJM+nY9N5xESxcaA4SsiQtt2XLQnyUXlHNsmk98tz0bju9gyCSLfbYyNmd5DQgUpH2z+0J5LOz4e2kQIvdMRdr8JUkK0rSVGAXJtQDfQ4/rIVeTgnEFcQQpGyxgjUnaYYKUOfQg8soEfBB/BJvlxVDbuRMzNCBy9OyYESEU7GbYioJUbaogBQTJEkauhIgiLbdlZA2aywbV1mFE/EcAAKrCwJubIJVrFt79xPcAALrFCFIPjq04D9XMMFS7gsI3PwW/eKTpc5yRIuM18jNrMN6TguT7qO98hisn4o0gnSfnaE3+jPgdsp6DxgbWKnqDKsDf3YtWwjDzTUeWABLsoo/R4nr4ztwE6fBMEw8Sw8brSKq9OYs/zj4U+lHGIh1U5b4roNE07R07f45HjjwCAPjZc//JlZMSgiYGMT1avGb4qAst3ZQgTdBrxK0r8I0CP49BiS0YM3KMetHOW0GiB5iCxNr7zxzKI2c03qhFbBjOYyKu+5LCoASp7uWhMPWEjdmg11y+LpTYUo1/TyyxhfJ/IoOmWYnNsz1U6M+IgtRIkMwK9d84FRSzzT1I85WXmAepZrtNwiKHudqXkWWolCDB8+CVKGmxq7DLCnQHMFlSeoyCNG9QJIORh9FP1iSH3je8clRBWonqZNAQdM3aa3DPm+4JDePd+qatS06OgAUQpBdffBFbtmzBli1bsHNn86GfCRYBNBenaBL15LRVozwjxBmj/piVo01/PQpx5EjFnQEAVKrCohsJi0yzHKSSRdv86c6CKUhUgQHCCpJuKDB4m3BwwYqDQtmoEQCxC221XESeDtP16yZSVWFiuKshU+slz1Mdg7423qDNsCK9AkOZIfjw8fzU8/z7TAFbkSIeBz57iilIlQnevssIkkuVE68iECRKZHs9D/lasAtX9cbLLJ+iUQiSCo2lYjOCJJbYatPITu6AIjmwVfI7FceAbwUk6diTe8iAWngYWtvc5MtKbK14kJreqFNBic2yBIIkEkVm0lZ06LTEpsZ0sAGAT1vlPbe5CgMAk7/6NQbrs8RnRiMeSrk12HM68R6tOvwLYHyct/3HoU85iF7lIGRPwe61pNW6/vQOWC55f1L54BpQ0mQjuC63qfGJAEDP8LiD7HWvbxj8a2byWPUaGxiYp2ZCkbEL8xOkWVZia6IgyTLw8vcDADYf+N+QweZuWRiok0aOF63T+LiRn237TpBobwZK2DOzT/OOKbHEJmaX8TRnLSOU2MKkepyO2fA9CZ6UDRQkSkbqgoJ0SCbv6eWjlwIAZmhJTzRoz4eNQzk84p2NCWkAcWOZWImtro1CGTkdgDBuhCVjCzlI8QqSxolBiDhHPEiaoQTDrTU6hsaWG1r8AaBeomVmt4Zy+vjLSylN4eOjYo3a+WBgbQoSJF2HTCdh8DKbXYNZpKQ4Gz9mBAiX2OYkSAD0UdJd61JSzUtsQop2lUZtZPrJ8SiyEhrGu5RlNREtE6R3v/vd+Pa3v41nn30W5513Hl71qlfhk5/8JH7wgx/g0KG503kTnCDoRVeskQWmsCJYIO0x8iFrVUECAqP2ruldKFpEPanXs6gx1YCHRTKCxBQkBxXThqFRY60lAb4fLrEJCpKqK8jTBVZc+NmirEgKdFkPPEhyI0Gqz4xDVgHZIIv9n/7H7/Gf9daHIPkSVL8O3So27WATsamf3PBYmc33fU7wBrN0zhsjc9lBABLgOVxNY9EFrhy0+YvyNAD0QEKuHtyo2SwiERlKkDRJIKZajIK070FI8LHbW4kqNb1X04OhSeRHaGdUX85uCHQTwRSkolVsiDoAghJbqyZtV5hJF1aQaJlBTgUKklODcWYjQXLpgu06cxOkymHiA5tYcT72rP9d8r3cKlRzKwHfR5oeu1Nv/volCTiDltlm+0i5urbjadgeuQEY+eC68g3SNbg687L4J9MynCjKq07jg3/H1pMb4Pilr0RhVQVZuTGSIQ5VrQjfzcU2NACA5/l8EGlTBQkALvhDWFoPCrUD+E2ZGHqvlp9APy3RPnEA2EPLmf3FQMVMWwExsBWTd0yJ40ZCHWz8PKRju9g8z8e0p8KjafqupfHfY88jtrdP6hZSSgqXjhK/l+v5qFiuYNDubf6aKTYM5eBBxn+z3k4VvDDRYAqSufoaqAPkWufjRugmNFUTcpCadbFRBSk0MDYmTZsNrVVp2de1JGCo8fPEuvlSWQ3/39UnVl5in43YobW5Yb4J1eiSJfdG0rTtKswZumanmytIaV2BRIN903FJ2gJSa8gsTI/ZEniJLVCQ6nQYeXaod87nWmrM7+ql+I//+A88+eSTeOKJJ/Dkk0/igQcewAMPPMA9BStWrMCFF16Iiy++GH/7t3+7aAd8SoLeMEtV8kHMDwQLpH144QRJzELik7ydHCYrJlbrGUFBoiU22ubvez5qFQfD2gwAQPYk6E5zD5KqycinVBwrmyGCJKbxSpJE7lxqil+8ptAN4xTJjbGSlZA2AUwcAwqEcDD/kVo9MG8HG8PLBl6Gnx38GTdqk0G1ZMEbyg4AOBKYtBWNlBurx0i7eG4QMiU7kmDM9ao1KLksJ0gpNYMeKwVogAI31jSdSTlADVBFghRXYtv7CwDAL71z4GVVoGjxTjZWKjk6JQM9wMjauXdyGS2D/lQ/pupTOFQ6hMJAOLWZKUieU5jTpM2UE9f25i6xqQbyNUFB2tDok3Po4FtnHoJUyvbAXHE+dpzzntifP3f226C6NZw28CSAOuLHwktYP/AitlUATT4HrqyhvuMZ2CsIaU5RZcZ2bdgKIUijxlnxB6TngsBMy+WDf5+88DUY3bMDg7ueBkarGNWfhZupQ64aTcpsPtyMibHCHvhH1zdVkI5VTNiuD0kK5m7FwVUz+Lr3m3gHvot3qz9EycngT9UfIA9yDec9Cd849BLeD6BfCCzO1H04akCQWMdUIU2UsWLNaRyuDIRKbHbdhef5kGUJdYd8fjxDglz14ZpK0MVmhUtsql1FOS3h/KHzkU+loKsyLMfDZNnEUwdpQOQcHWwMA1kdfRkNW6uX4cDrvojTHvlEcBNG0CVrptZA6SUxJ07EpK3VPG66b2rSjiuxReaxASQscma8ij7KRjzPAFKNERwmzZNLFVK4Zu01uHrN1dg2sQ1Hq0cxmBnERUMXtaygjPak8MzhIlcbQ8gN8U2oQgcVK729cA6PhQkSVZDqRhoGGseMAOGgyNAaFgN93YUAdsFRyPnyymWyRtBNJ/KjqDsvAjKQWz3Q0utcKrSsIP3BH/wBbr/9dmzduhVjY2MYGxvDf/7nf+Jv//ZvccMNN6Cvrw/33Xcfbr/99sU83lMT9OKdLZMLlylIvufBOUw6NtTR1gnShl5yoxqvjvNyl+/mMEVr4VEPkqLJvMOnXrGwSj8G0AnhGTPc5u9VKjw4T9UV7hsoxQy8DC0wagpGTJu/V5qAC2BXH/morhCEj74qIQg9NHBMXbN63tcencnG/EeGYmBFJkePVbhJcaM2IWqMIKU0g5Q0AHhVuiiy0piWRg9t15bleKKRMsjfkCESpJigyBd/DgB4yNsMiQV2pofg0lZ/t1jEtEqOcfVF8ytozVr9Pd/DZI0853wKkka7eDzbQ02LK7FRA76awVCRvD5V9aEUGsdo2D5VH6y5O8Em1p6N5zfStv0o4aRf7zrrLUi9/Tb2zcgzkK8H3/gB6D0yFN/AVN/ZsA8c4GbUVB95/5+ffh6+5MB3MkhhGLHQAwXJEfx1z42eBQ8SModfglOTIUse3MtJN1zDqCDfByDh0Pnb4Ev+nCU21pk0nE9BU5ov24/sncI/VV4Dx5dxufw8vq7/D1wk70ZOIQpbjwfspzfs/lJwPGKJzabKwNHq0dA8ttCYEQahxAaQ6Acg8Byye6dT8wMFKcakXU4DFw8T8zwb5vzI3inUbBd5Q8WGwbnHKAHEI8jykLbnrgJu3AG88weoXvd3cHwZGdqQUq84jeNG7Cp8H5BrLp9g37zERhUkbW4FiXWy9dHSuOs0Boo6lguXfnzSPSdeXhqZV0Ei15vk0BEvzKgtlthmyXHazPoQ48VKqUFQ5HwdqMYgWZ9c2YAnKaTExsprahp+qhcW/aDk17V+H1sKHPeokeHhYWzZsgUf/ehH8fWvfx3PPfccSqUSHnroofl/OUEsfNdF5dePYPYHP0Tl14/AZ1eOVYblpWGa5EIprCAfJndyEr5tA7IMbXio2dM2IK/nsTIbfBAlXwM8A5NlSpAiXWxAYNS2qg7WyUegsFC9ejD2AyCeHDYZXdMV5FOMIAklNnGOEYOWgUov3mrRxKHnp+F5PrzKUWxLGRijG68BYVHvpyNGeopj8CRghz5/xATrZHtx9kXUnBovr/UYPeihJSzRLxUYtan5lxKkrCrz+j1XT6iCBC2NnE3eI0mJD1zUNXo+PEE5YbtQ1yRBh8Ux4Njz8CHhV97LoPWQ96CaXsHDImeffJYPqF157vyLS7OwyBlzBo5P86acXHOClAoUJN/xm5TYqDdHTWNFkfzcyMYrRKZH/SjzEKTJlyqwjd5GcsQgSTC1HhxJvQp481fJPC4RhZXAm78K6Zw34LTzegEAL60ihmCW98II0pNHiV/Hra9pblYXZrHZQqjmOAy82EPeh8o4ec2pMz3ce+aX4evhc2qY03jNtTns7ScBiXN1sfGQyLgWfwETpToukHdDQfhzR0a0eJAhY41OPt8DJfBxQiJBsmhn4WBmMFRia2jxB+h1a0OWyd9jm5uqRckPLY07VQ85PZyDxNv8nQpKaeCS4UsABJ1zP3ueXM/nr+mFLM/d3cUQStSWFWDdVZjY+BY85J0TlNiqNhQ2h2w6KLF5tgTJayFJW2alJYEY8Db/4DrIUqN2gT6NGDbPwEii5LswBho3EAvFfONGmNrnWR58zw862ShB8s0qLKog+XLzNn9ZlriCJM3TgSqObHHUNDGEixlIx0rwJfKY/IY1cU/RMbRcYmsF6XQal19+eTuf8pRB8d57Mf6p2+AcCbpw1JERDN9yMwpWBUWX3KhTWY0zelZeU4eGYifYz4WNfRv5wFoy/0nCsTJ1XUdKbAAZWFs8VodTcXGGdASy5sG1ZGRMYMyaheu5UGQlpCApuswVpJAHiS20Qnvontql+MXMGwCQwLnv/d12ZHsNrByR4CgKjhUkAD4GBAWpv8pCIg/jWAGoODPzvu6hzBAvM+2a3oWSReoMfUYfn7NUrDnwfZ+UxiKt/lBpmKCsQM5m4ZXLgXrCFaQMUja54TcjSJpKSZgvEAdxmr1V4eW1Q+kzUaznkOqjXSrpQTiTRDU79Pg+AIPIosTnP80FnoUUafVn+Sp5rQclqKhY83uQJB+oz+VB0rLorRhACjB64n0Kdaom1s25l6LyjNnSbq5SNIFL3wCc/Xpg/0Mkwyo3DKx9BR0/AWy6ZA12PzCF2d5z4UlykBhMDa5PTlCCVD2tealRC2axOcJjijUbTwxuwIbZQ6iMG+jZ4COjZ7F34CkUM3vR+8SZGDmjgJU/vAM9489g/cf/E5OPMuUuh4otfPYEsJDIlXEhkQKGshpu1b7a8H1FcpGVp1DxVuBPFdKgYDhkg1NJM4JEPl+ObPGOqWecEn9dvMSmhgkSAOiah7opCwSJZUs5MKHCrdjN2/ztKuoZlccpsFmFv9hFPpOt+I8YmIK0eyIY+DxdtfBj72K8X/41AELM1L4oQarANcknzKalRm7UEVBIqzwHKbaLLUZByjCl2XTgex4kOfgkM5KoOjVokYyw40HQ6t9YYvOzgzxJGyClYUaQHEqQrKMl+J4EV1Mg+83b/F3P5UPO4c+97tieD0+yIfsaHDUDt1wimz8AKKxEcQ9piFDdOoz+5rMIO4GODqtNQFC8914c+uCNIXIEkHybQx+8EcWd0yi6RCFi6hEA2GPkQ7YQ/xHD+t71/P81SQfgYTJaYjNnAZdcBGwem1t3sE4ag6zTqP26D8/3ONEQPUiaLiMXoyBFpfo92yew9eA7UfXCPoPKjIldz22GUrwIk7Q5a4D6JlRXR8EkC0q2OoYjfVJLEfSSJPF2/2cnnw21+DO1y3I9mA5dHLP0Ofc/BOx9AB69YtKyDDlLcz1iFKSUTX1bSvwNlgUkeq5AbFUDYN1BVgXYS8prz6aI0pEbSAHw4appVCaIandkLzkhg72tTbjmrf4RgsTGjPQZ5JxWzeYeJFZaAgCLGS9jutgyWhaFOlWQmix8VZfcyKp1LT67haIkNf+ZCLZrZ+oBzv198l+hTLFqYz9MrQLIGUz3nR101zz3NHzXxVPH6MiL2mnNlTRRQRLOVbFu44lB4vGrjOvw1QxXGvwKOYbRMwroHd8BCT7k3l5M1ekMPCcP2/WDz56Asfla/CkuU57DSmkqVmjL0zJbVtLg0o69FSXywIzph0psrGNK7GKLL7HRBguVnCfWycYUpJRBoxBKZqjN3/N8TqY0p4rR0TORop8lpiCxNWMhBGkjJUi7JgKD1UzVxn3uxUJQpMVLbIEHqQrXItceM2lXpYBkMYht/ro8d3mcESQVlED4ftDiThGQxAo3jp8I5ho3MusaMH0JMuh7VXMbFCRzgtocVvbAcJqPGmE2CWD+DtSK6aDG8+My8IrFUAZSeR+57+mYIyW1Q0gIUofhuy7GP3Ubl7rDPyTfG/95FUWHKEihDrZDCzdoA8B9++/Dd174Dv+6gsPIbrgDT0wSxQLpvuBGTX1IbB6bVHdwmjTOS2wDDrkgGdEgXWxkQVC0YIEVu3O4B0nLwPN8PPCNXfQn8TL62OQ7YObI3xmgnTdsxIjnF6HbFcwOZVqOoGedbDundvISW5/Rh5yu8htLsW4DO+8GHv838o09PwG+8ttYdeDbAEibbGOJLVCQVJvFATQhSAohno4j7L4kSdiJBgrSEyrpuMpnNWRomWb2GPWJ0BLW6Ibell47b/UvhT1IzKC9Ik0IUtN2c0WDrKcggfoq2NDeeh2+Q3+HDyLOI2vSXehwI0Eiyczk3HluCjW7Ock7lgKKUpP5cBS5PiN2UG8UsixhdiV5/WMjgeJ95H1/ghdeczVWPX4AgDRPiU3wINHH+L6PYs3BjoF1gKrAqaqw6xlODKQKzQfTXXYgKBs+HI+WNumA4Lhzz254o81a/CmUSIK4iJxC3uOSO4jMCkIQzrDI+yKW2N66+c28Y4qRlYrlokTN1VGTNgDoVBEVFSQdNowU/ZyXqlxBqtpVPt4FIB6kjacH1y6bVchwwZr5DdoMG4fJ39g/WYVFieZ01cIYBjBukE2mWXMg9wYKku/7gFUmgZYIPtMVlKJPj4yuQKbz7GSI5fHmJTbT74GkkHWL5w1RBGXGGpSBE1eQmMI4NtMYFjlRtnAMPbzV36o7DQTJOkpJ/5oRqFQZiutiY2TZ92XYztw0omK6KNMSmqOm4R07FE7RPkybgbTWNnlLiY4SJMdpsgifQqg+9niDchSC78OpAFNl4qkIKUisg2209Qyk+/bfhw/97EOYtWZD35fUWfyy9FmSfyLLQJruZirhNO2MWYYuuWDjpwZcckEyH5JXqcDjJu25S2wZNYOxXTOozJhoRo4ACRVvEBfrryN/j/omWHlNtYmKdt4F17ZsZmRG7ZCCZBCfQ54er7vjbuCb7wDq4fOUdsluf40zFihIvMQWKEiyzRaEJp9xWr+37UhplC204zuA2QOArGGbRNpkCykVhTw5T6WSB7tax6xKFK7Vl65r6bUzBelw+TA8PyAcTEEaoiqc6XgN6ecMUiYoszlCijQ/D1RBMmoyJGpClwcb/RVVp8qNy76batriDgAzdQf3p2PC7wRc+eaNLXtVhty9AICjKwj5lF0Tsu/CHT+Kv/quh9fs7ge8VHOiqGWFLjZynkzHI+qjasA4i2S/VI5ovBSj1Mi5SNMbrNLTgyn6+ctreWSpKTbuPLCupFXzeJC4Zy4GTEEquyugDZH3+db1f44vX/dlrFOGOUG6aPUFwe8IBt2ZehxBoiU2+ppYq3/FdFFAFQr1ILkzJf57ZbvMiYHi1CD7Hs5d/4rYvzlcMILZhS1gpJBCzlDheD720/DBadott6uHKLG+L8FN08+j6xLSIpTYPBrhUfJnEYUkSdA18nxSXHk8psRWdfsAmoXmRghSSEFaceIdXGJYZDEa3Fk0MYHe0GiYBgXpGHlt3uqg4SOOILE1HJ6Bmj33xqVsOjCpAuyoabiTY+EU7Qnim0hnOpN1NBeWjCCNjY3hnnvuwWc+8xm8/e1vx/nnn498vnmo3akCp8XZdcyDlB8QM5BoiW1VawqS67m4/ZHbG7tpQL2vPoKJ0RGjNpvHlrNo1xslB/20PZt1snnVwKStagovsYnGZzFPpVJsTVYdypF8FN0B8rWggy1fId1l51zQesoqK7HtmtmFiSrZcffRkMhCWoMMDwMP/DfEtYqz3de6+i7IGZoMGymx+UoKcMiN2tLib+oevbmathre6bGF9vn/JP9dcxkmqTk/n9JQ6CfntlRTcfih5+ApOjSnihWb5484AICR7AgUSYHlWaG5Tuz/R7KB2b+p/ybVG/iQZBU+HfwZVdLs8SrvCPLTjeeSlWXhy4CvzRmSOF21sEv3MPy61cj2hiX9XJ+BLe/djPUXttao4LsuLv/Rz6A6VZ52LnkOpns3ApDgA/iDe2ch+96cJbZoFxuLh5AlIH8eKWFXDgUlKY3GdKRBW637+jBZJ7vngfQAv1ZiFaS5BtWKWPsKYkiP2XDkZHItl+TToJ5Os2kmJnDpyKVYr41ysivpwXulKmRuIBAQpNgSG+18E03aBakCNUVN2tPToaDIoIOthroGXLCKBERu3TGGbz8elH/HiyauvON+bN0RP18tCkmSsJ6X2cjxzlQJeXtp6CqotIxjVWt8g+NOTQF2Fa4pw5NkgA5gnnXjM6xUtunx4xSkRoJU9wtwaaZQVEHiaeJOFUobxnSlNAV91MM1FhlaO1Gq46jfG4plCAgSTaefJu+9vJpsuGzFjN10MKO97xm8nNoMFcuBSZ/C0TLwZqfCKdrT5HjSPXOX6jqBtpq0AaBer+OZZ57BU089Ffo3FZkfFWdEPBWhDs7vmwGAikIedyIK0raJbRivjjd/gASef3Jpk3Ejaab65XsBHEOPTT5CLAvJDbX5y3w3KO6Ka6wEo2YCz8g8UPp7oaxYAffYMfzDObfiyWIvagBGZ8mNvZUMJIaV2ZUo6AUUrSIeO/IYAPAhuPmUNufAS2ZylF0ZMs3wiZq0PU/nPqyaGk8APbpQu46Ouu0hzcaRMC/DC/eQ/657FUq/IucuZ6jQh7PArhLKbhqHnzwIIIM+aQryHK3fIlRZxUh2BIfKh3CofAjDWUK8WYltJDcETZFguz4qphO/e6c+pBoAzZcgpTNAqSicB0r+Ds/CUchO1I1R0vjoCj8FQJqTILHZXGvOHcCl128kymPRRLZAymqtKkcAUW2zk0VkS4cwSzPBXC2L7RfcCKM+jY27v4WhY0/inGMvomI1a/PPhnKQgGATUEhryJ6zFscAVA/ayMgpSL4MwyTvbcouogqSQcOiFfpT/agYKgCz4TzYrofxEiuxzaMgyQqw5Q6ifoLueihYq385ey60UTJ6xB4n60HWlODq5Fp8sbIbaxGsSz1pDRXLRdGkClKcSZteF1aNeZAiCtLkZJCDZJeFMSMVmFkNGS2DrTvG8P6vbWvYlhyZreP9X9uGL7ztImzZPP9at2EwhycPzHCj9jQlSFb/2cirO+E4BswXHobS1wevUoEzPQ3dqsC15NBcvSnvWOzzq6oFG4Av+gdjMsxSGQ0SXPhQUM8PITO1N0iRpghM2lWobTBpA4RET1dtjM3UcfZIoNxOlEyk/R7k40psszPwbRvWLFlHlJVEAbXVmG44CCU212hehqYomw7qVEGy1TS8mQpQpOehsBL18nNAAciu6D7B5IQI0r59+xqI0J49e+B5YcktznypaRo2xATHnWrIXHIx1JEROOPj8T4kCVDSDsp0wSrEKUgtepDmmgTd8DhGkCJhkdSbDal3BYBjyFvkxs5KVU61DmTIRSbmIDULihzd2Itsr4HKTB3Nymwq6kivHoY2MgLn2CQKhwfgTagAHKSnXwIkCdrq+TOQGCRJwqaBTXh47GFuVu4zqIKUUucceMk6l2w/BVmlAXARBcm1Ve7Dqsu1xicBYHlUbfIMzNQspHU224outGx8yxmvQvmnZHeXT6lw1/QBKKGq9ODIgSqADIYWuK6uzq3GofIhHCwfxEXDxPvBSmwr0iuQNSTMVO3mO8N0oCCpPiBlM/BLxeA80BKbeWiKK0hODFFkChLLUZlPQQKA3owOWZaw6qzWfSlROEePYmLF+ZjtbVx/TKMXO855DzY/8y/oN0vNjymiIPm+z+dfFVIa0qf1Q1Y9uDUgvXccGasACTJkRYJWmwHQqCDNGI2bCQAYL9bh+4CmSFjRJC4hhE1vIFEHW28KBSXmCxIwA5RqaajDRIF1jhCC5JXLcAfJcz8+9SiuxhX89wppDYdn6yhZ8UGRgECQ6hEFySA3T2d6mitPVaeKKo0UUZ0qpEIerufjE9/fGRvvSdKigE98fydeu2kEyjxkmPmQAgWJvC+9WQOpjIJKETB3PQKlrw/2wYOkk80qwzUDguRKDqbtqdjnZzlIrit4pWLGBEmyhJRSRM3tQ72wEhnshVcKJ9jXpmlApV3hnXUnitGeFHaOFRuM2hNFExm/FwN8YoELZXUveS0zs7D2vgjfkyCpHrT+1QCmUFeqsWKGWGJr2tBBUTEFBUnNwLV80l0KwM+OoG7RzuDR9rz+dmJBBOmLX/wiJ0I7duxAKSIXNutCkSQJW7ZswbXXXoszzzwTZ555JtatWwdZTjzikqJg+JabceiDN5I6V/Qc+kDPhRIcpAApSNF2yxV4s+TG2WpIZCtdXvxxTUpsCt01KStGATyHLP3kMwXJqVoAFUFEBakUY9LOalnIsoSr3rIRW+96GoCHxqqvDwcpHLqnhszQFdj18rfC/BkA2onxzKY/wqbJ+yAbC5NnXzbwMjw89jD/mg2qLaS1OQdecoOjn4ZcIBd0VEFyLSVQkFBtfBIIXSCegdmaHZROxFZ/LQtv9CKUrR8DIOqWvG4FgJdQTQ/CKruACqw8e2HehVX5VcCRsFGbkefB9CCy+gxmqjbKTTvZAg+SBkDN5mCjkSiaB4/C6afZOnLjTpTJ9Ar9wMw1ZoORj75MjKK1QMgDK7Brww3xP6TX4K4Nv48p5RDspmZ1HapMzdU+4Dk+93wU0iok30RmyEL5cArq9meRc3sBANleA94s2UwovT1cQRpIDWCcXivRiAV2oxvpSbWulG1qjDrID1wK/PVDqBUtSIOkHGmPE/+jUy7BHSFry8PHHgLwF/ypWKNFsyRtIEipFk3aBVShpNgYHhuZerC2lcp05IVTRWpgEI/snYrP7qHw6Xl4ZO8Urlg/9+d9Y6TVnxGkvowGqacAFH3UX9oJQ2z1t6pwzUyok491F0bB2tsdMfgxMouN/X9ePkYIUo6s0VEFyZyh50H1Ienzx3S0AqYyHom0+h8tm8igF+fFKEh+tYr6008AAIyCAxcFAFMwFTJpwFDC6yuzSZAS2/wEqc49SBl4Nv0MSwqcogNTJe9XbmV3pWgDCyRIH/jAByBJUiwRymazeNnLXobNmzfjnHPOwTnnnINNmzbh9NNPBwC8853vxJvf/Oa2HPTJhsK11wKf/1xDDhJkGatu/TCqT/4zMAXkeg0odPirfZjc3OSeHjLmogVcNHQRhjPDmKhOxPqQfJ/M/blo6CIgQ0s8rIuNltg8mo2hjpCSFlv0WDeYXSe7K0kCFEWOncXGFlrW/rz+wiFsuewpPPDYKlS8QA7J9Sg4x/0Knqq+HrWpPuzA+UCEB1l6D54YfRNGtk+07EEBgk42hkBB0vAT72yUjSHkzKOI+pCYgmQiB3lkA4AfNypIlsTn0VX8xlZhICgz+p7OF3DyBwSPyeDZKNse58z5lAp1NA/4Hlw1DRfEO7Py0oUpsdFWf9/3uZIxmB5E1iAbn7nCIpl6kpIkKNkMIUiCWd33AfOlcbiD5PNixkj1bOSERoeaNsteKtUdePQc9LSBIM32boCZqjR/gCTBTPVjNpuG30xFkyRownR523J5ia0nrQF2FZlhE+XDKfiPPYnsOb0AgGyvzifIK729IQUpqzduJgDgMG3xny8DqQEs6oDC8H2ougzH8mDSbkWmILnlGnza5LC3ugf7Zvfh9J7TAYDng1Wd+CRtQCBIdYEgSVXICiDrMjzLgzxTgiqrcDwHE1Nk46XaVfSsWo19pebkSMREC49jWUh7jpbhej5XH/syOur9/cCBSZimhCztCHUnjwGuCdfKBQRJNjFViydIvmQCfqTBIsakjYnnkKGz+GyaLdegIFEPZirdPrGAbbYONyhIdWT9Hmg0vsCuO5DzeUBRANdF9bHHAQBGj4sqzXGzlBpKVglGOkKQWInN0+f1IJVNN0SQfFeG7wGS7ML6/LWw9f8KAMjME2HRCRxXiS2Xy+F3f/d3sWnTJk6IGBFKcHwoXHst8r/5m6g+9jjssTGM3/YpeLNF+FZVyEAKFkjnODKQFFnBRy/7KD70sw9BghQiSewm/Ccvu5F0g/GwyHAXm+Nn4PoqjJXEhGrQHSMvsdGdvkoDFecaNSLuRNevLWPd/vdibP1NqLzsXcRboj0D+avfQUbfgZ/N3gHfRcwECeKzePCbu7Du/MGWd9jMqM3wUvElnNl3JvIpFR5k/Hjth/C7L9yMqI+DKUgVdQhyjrz2Bg+S6XMFqYoyHM+BKocvNXGB4QRp590kToDh8OPI/vMFuE5+C+6XLoehypAkCYZbhqkSb0G6fgypDVe39JoZomnaFbvCR84MpAeQ0clojFYG1hY0lRP0oMRWg11W4JsWHFpiM+VGJY0pSIY0t4LEbnAZXYGhnninS7U8dzccQ8ZXMDFH+UA2UpBhw4MG23S5SbuQ0gCriuwwNQRvewL59b8BAEj1qHD3zAAA1L4+TNbIzLe5TNqHWUjkPC3+80GSJOT6UpgZr6KuEBLhlctwSyXYQseTrZj4xcFfCASJzuaKuW65gkQ3AmIOUgHk86DkdHhTdbjUqD1jzmDf0ZcADEBzqjD6VmAo39rNsZXHre7LwFBlmI6HA1PVoMSW0TCdo6VvLw/FIeTQOUYaNcQSm62YnLxG4VGCZFrCNR3T5o/xHQFB0sn12qAgVW0AMow2EH+GkUL8uJGjJRNVvxe6RNRiq0bmRCo9PXCnplDd/gQAwOiXYJs0GV2toWJXePwHA/cPeqmWFKQz5T0AXgabZY7ZMlTDgz0xA0sj3iNWpegmLIi2ZrNZ+L6PSqWCQ4cO4dprr8XrX//6hBy1CWzgZe/vvBH973wnAGDqmz/gHWyFuCG1C2jxB4Br1l6Dz776sw0To2WvF/VDb8NZBdpuy0tsZJEw0kFG0FF3COogucnqdGFlChLLhFFpW2tciU00aXNoaciSh1W9h3DmpSNYdVYfZOqLGfPWwXfnCgqUUJ42MbZrprWTAOD5qedDw0M//IsP47rvXIcpkF3U45krY0dWmNRb5HiGEBQZbvN36+AeJEe2gm4tAWKJrVijmUvffEcQFUAhl4/gC9rn8EbjcUiShD3bJ2ArwQ2qmhnBv/+3R7Bne/P8myhW54mCxOaxMYN2Vssio2U4qW2eph14kHKqEhOYWYc5q8GTFN4lVpcaFRumIBn09ZSaELIZXl5rzwLaamNARfKbk0QA0MJZSEX6GS+kiIJk9DhQcgb8Wh2nTRGFUi/IcGZYia03VGJjERPRv8nHjLRhh52nJc9KVYJMZ+NZL74Ihw1fVj34ko9fHPwF/x1WYjOpby62zR9EGeElNpMoSACgFshjnMlJ/rtHpshnTnUqUHp7cdm6foz2pOYI+yCv/7J183d6KbKEMwaDMpuoIKUoEal7OSg1EvXgTtG5hpbcUonN9cl7XrcFghQziw3jzyBLCZJLje0NXWxsUO1C1cE5wEps0TTtiZKJo35P0OZPrytWZrP2kURrY4XGuwwtpc6vUxHMg+R7RvN1gqJSN/Fm7V4AgEMJtUd9R/WyDod+JtK5Zd7mv2fPHrz73e+GLMv46U9/iksvvRTveMc78NJLLy3W8Z2y6HvLWyDpOuq79mGqQm7SeTEk8vDxp2hfs/Ya3POme/Dl676MO666g+Sg1D4Fp7QZx9g8tkw4B0mSJei0I2W/v54vrkqF7FJmzBn4vs87elQ6syxv0MXV8Xhw21xeBpEgeGWyiE65zbNdRLQaGXDf/vvw4Z9/uKHMOFGdwE+nPwM1v4P4STa9gQ+8xAiJGfhZ5tXkwY4fBEVWIyW2ussVJEe2uT9LBCNIvmdgtlojhtq4+AX6vY/4/wt7Hj+CrXftIK3I4uueMbH1rh0tkySmIE1UJ2C5FjdoD6aJRy1LZ1BV5vAgsVJjVhFm0vEcpBrMWZWPrgCASkwqcckmN4s0vXk0IyPsBreQPJy5wBoD4srMDJleHQdVb848KLGTzbG8QEFKq4BdhSQB2bOJGXqoRAiSmvd55kzUpJ01mpXYWguJbAW5fpq1NF3n8xvN3bs5MdDpMTw+/jgn9uy8s8aCcBcbU5DCBKkiKkgF2k4/OcU72Wo0tV+za1B6e6HIEm69npS948cMA7dev2legzYD8yE9c7jIFY6+jA4jS16fiV4oHiFA7tQUfJ8oSGxwsS1bmK5Ph7LCAFKOdnzyftTqwg2drWVODWBNSuPPIKPM0OejykmEIFlUzEz3xo/iOR6I89iYHaZqOSibDo6hhw+stSrkv0pPOMTVGEzx99FUa1zpFREo4AZq8yhIK6Yex6hMS7l0U+zRGJRyrRcAmUWXOvbIwl7oEmBBBGloaAhf+tKXsH37drz2ta+F53n4j//4D5x99tm46aabMDvbGKyV4PigDgygcP1vAwCmK3OERB4HQQIaJ0YP0qRqPrA2E1aQAECnPpIx6TQoNMNKphfZjDkDv16HJ5EFSKULbVYY+MhKB2KSNkcMQbKL5KKqLHTMxByYKwuKfc8Y/j5m65RsMR/HecQ/t8EmYyh81wdYtkklXGJza06gIClWaJgvQyBR68gdeTTUbRSFLAGD3hQe+PpOBD09jUf/4Dd3wfPmP1f9qX6k1TR8+DhcPswN2kxGZ16YuUtstOwVO3KlDnNW5eU1W7ZQc2NKbCyZmd5wm5XYWIt/X7Y9BIk1BgBo+Bywr1/x+xvh09PclCgKnWy26Ya62JiSkNlEvHo5k9yEpJzLPUhyT9ik3azExpSAlW1RkChBmqrzTjZz9x5OkFJpHacXTofjO3jo8EPk9aQ1AB5csBEyjR4kwyOvKSixCQpSLy0vTU/xTZHh0Gwop8Jv0Fs2j+ILb7uIhx0yjPSkWm7xZ2A+pMf2ExIkS0TNZqWsenptMEh3ehq+I5EZZFxBqsP13YZr13RN+HQQcNUUCJLYXGFXAd+HL5TYLI+sB6KC5Hs+LJc8R2og1/Jrmw+sxFYVVM0JunnUdQN6itz2LbpuMQUJAGTVg9qX4QTJUmqxClKwfhnN89Io9NpRPuaFl9joWJeKRTYOKRQhzZEC3ykclzNs8+bN2Lp1K7Zu3YpzzjkH9Xodd955J9avX4/Pfe5zsO3WavwJ5kb/O94BAChLjR6kgCAtrMTWDAO0fXiqQomBWGKjOyJDJhf3pLSKmPsAoFaH7PmYNWdhl4pwqXKiUmKkKjIyNOOH3QDjZzqxGn5AkJwSuWBKeqUhHDCKVsdMzJsFBUDWZjFhPRv+5ulXAgA2u0/wb7ladNQIVZCqNj8Pjmw1KEi+7wsmbQNSZe7jAYAx62WolIC5EsdbLTNKkhT4kMoHeYktUJBYiW2OoEia49Qwk873qYKkhcoVFTumxEZ3pjmdfJaadc3xFv90e0psAGkMkK89jIo+E/q+lzGx5b2bcdYlw9AVtog3b/UXs5DEHCQ+sPc8ZqCnu/SsHaQW53RYdMT7QHquElt7PEgAkKMDj0vTJtQRosyae3ZztU8zVLxy9SsBgJfZetIaIAdrepzyq3mUCAhdbD1MQerrBQA4k40ESXWqoRv0ls2jePCm1+D/vOfl+PxbL8D/ec/L8eBNr1kQOQICBWnb/mn+GmRZ4nElpjYqpHzP8jEjnkGOT6KjlKJlNubVA4ByTbh9amnwa9OqAKUxSPUZpOQZ8i2Hjh4qBwSJGNrpLLzB9rW4p3UhLJKS64kSuV6H8gb0DO0spdeVeP71HgeSnoE5j4IkKuC1eUpsE14PDJl8Fhw1Ax+AZ5NzV7XJdZGWZ+dMge8UTsg6f+211+KJJ57AXXfdheHhYUxNTeGv/uqvcNZZZ+Eb3/hGu47xlEXqrLOQ2nQaTJbyfAIZSPNhgJoXgxIbbbn0XZ7JkwZZLErSCJRcsOPJ1MnOuzg7IYwZCXZX3KhtkkWWK0iiB4mqDSJB8mmJraz28B1/YwwC+brVMROtZkGVohkoI+cBqR70SCV4dAfpsnp61KRdNeHRLjZHtht2oZZnwfFpi7hn4IjXO+/xVNzWFtDKTGvdQKyT7VDpUJCBRFXDDC+xNVeQWIktJUVKbE4dvguYRRUO3S3aSp23BYtgO9McnT9XNuM3VtOCybadGD03h/+46BN48ZU/xYuXPIC7N/0DVr23zrsh5z0PWgYaVdIcMxjt0CMQJH3lCNTVa2DRIFI3VSHDOgHM0hb4DB1om43JDKtZLqZoOWrBXWwxYB6k8lQdGleQghKbZih41epXAQAePPQgXM9FIaVCoqNxFEkJt3zzEhu58Ue72ACihgPAoYM78eiRRwEAhksVJLuK7fVdEKHIEq5YP4A3XrAKV6wfaLmsJoJlIVWE8hoAocRWgJIia4c7W+SKhpcl75NikL8ZJUgBMdBQqgvlN0kKG7XHnwEAHJXIuaqbpFjuFQOCxHw+smvBGDrxFG0RI0KZDQi6/wbzBvQs+RnzIDG7BAAomgtfSYcVpBiCxK5d39ObK6wU26SXYUoi59+XFLiKAc+W4NoS6hIlSEaNpMB3GU64t1CWZbznPe/Brl278LGPfQzpdBr79u3DH/7hH+Kyyy5rxzG2Dfv27cOf/MmfYN26dUin01i/fj1uvfVWWJbV6UNritSVF8KXFMiejbRGb6q2DWeCqCsLNWk3w0COXMiTdDGGagB0Z48qWSSyHlE66tIAJE2DRG+Mgx7ZdRVnxnlpKUSQBKO25Vp8OGe8giSUYqj/qar1kyiA925Gyg/faFOoLmjMRKtZUPV6JDpBVoC1pBMJEllY2FDLBgWpYs6pIFXF1+jpeNw/u+l4CADwfMAst3aTkMf2tvQ40agdVZBy85bYApO2AS+sINk1mCUV8CV+s7GU+pwKUg/9nDVbaGcFk207MZIdgS/5eCH9BB5I/xCHe3bjguHz+c95qbHpwNocV5As0+Xt+IdnqvBZHo6egXLZK+FLCnzfhWMFJespLVCPALHjMzjvTAHI6ArvJjsRcAVpqg5lmOzYncNjfMyInlJw4fCFyGk5TNWnsGNyB1HEKEHKaJlwaCAtLRnU+OtYHlzXC3exrSCfqz17t6Pu0jl9goL0qef+gcyAbCPWDmShCsSKkWtu0q75UM8gs9m8qgmHqkFemnwWNUqOo51sgTlZ554zDtGoPb4DALCXEgDPA2wtG1KQxBRtZaC9GUDM0M862ViJbSifgkY3t7bpoXjvvZj9jjC4/Egau7/wEqrjVBFsYtLmGx7PmHPINACULeBv7bdCBs2PUtNwbQl2ReEdbJm1G8ga22VoW/hCNpvFJz/5Sbzwwgt4xzveAUmS8Nhjj/Gfz1BZuZN47rnn4Hke7rrrLjzzzDP4u7/7O3zxi1/ELbfc0ulDawqX7vJS9SkUv383AMAenwA8D5Kut+3CGsiSm89kWTA6Z9m4kWNAbQY5n5Ayh5YLmA9p2CMXXGnmaKAgacFHi2ch1Z0QOQh3sVEFyQkUENbFVtfJ7mr9hUO4NnU/Lnzic9i87+u48InP4XVDjy0o/4hlQUlNS1WAZ/egMnta4/cpQTKoyZHtur0qSZvlBKlc4/PoHLnRg8R2oZpsAJAxXXfJeAgAUZLE9LKD2TNg1Kfj09YBwPdh1KcwoMTPj4pCLLEdqwYp2kALJTajAIWSxJTnBDOtKhXAIf4jAJBWnQ6AKEghUkjBCFJvinyOmnWxLZqClCWbi33Ffag5NeS1PNb1BEN/s/MpSHrQxXbb93fixWPkpvHpe17Asy/RsqmWBc65GACgOrNwZqgnplDApD0DgPiPgGAjIf49pgCM9qTaMpop10c+s47lwe8PShqigqTJGn5jFfms//zAz9GT1riCFCqvAYCiA5IMTQreX7vukmG19HvSIO3CrZLPruKp0KgnR3WqKKWFGZBtgqbIOH1FcKwNClLFgXTe9QD1N1olOk8wRdYynTaXMI8YQ9B9qqNYt8OZgOImjypIz/urUZfp39ALIQWJESTNrrRtzAgDI0hjM+ES22DegF4g15tZ9XHogzfCK4cJkFNyUDtCXjdr84+CE0W3hVlspoN7/MugGuSeQMIiZdhlFRbdHGVWnXFcr3Ox0fYo65UrV+J//a//hUcffRRXXx3ks3zgAx/ADTfcgB07drT7T7aMLVu24N/+7d9w7bXX4owzzsAb3vAGfPjDH8Z3v/vdjh3TfCiWyFuUqk9i6qv/Dt/zeEikNjoKqU1p5KzExk3aQDgLaWoPUtSDpHpkMZHzZDEZpHJ5ZfZYMKhWUJDyQumA7TwMxQhnA8UoSCpdnKxUID/royPom9mFoX0PoG9mF4zTG4nMXGBZUAAaSBL5WoI5fj1qtg870r1kriE3jaxEzoNDZWM4DnzLCkza5QpXkGylscTGFpyUQqTu2ZodjIeIxAoUtSG8374RY2tfiY27v0W+2aTMuHH3t6EPtaaQMQXpYEnwIGWiXWzNQxI9+vZqnstLbH6lShSkWUpkRsjfsJp5kOjOtC9VmPPvsTb/3jYrSGwOHcNphdNCN7y4klcIWoYrSNVq+DGqS25MjxyqwVlzFnm+6gywj2RPKX3hkEgAsWN5eEhkG/xHALku03mqogjXlUiQAPAy2y8O/gJZQ4VEk9AlPwVXbASgpSVFcqFqdEBzzUHNclCgKfK7DPIaeuilzdQj+B5Up45yyuczINuJDYOBDYB9dpgHyXU8uBteB4XOTrKK5Ny7VAVKU79bMw+S7+mwXR91cZK9OI+NEqRn/TWoK/S86D3wTZOsFQDqbMyIU4XahkG1IjhBipTYhgoG9B5Srrccten0C1Yet6Qa7zYVIXaxzTdqhH2elSw5t7aagXfGb8F62XuDDKRCezc/7cKizfq48MIL8ZOf/AT/7//9P5x11lnwPA/f/e53ccEFF+Ctb30rnn322fmfZAkwOzuL/nk+nKZpolgshv4tFYolsmCl7WlYe/ei8uCD3KCttsmgDQQmbV5iAwIfUvUYMLkHKZm8bo1eD0qe3Nj6XXIx1opTgUlbDz5aYlgk23k07ER5FxtVkFwbuk2IhZ0KdlfqyEjo1xYypJahWRbUcGYYd77yTjilzfR4wze9cs/ZmPGzQTlByFn1qtVAQSpVBAXJbFpiy9BzwIMixViBN/1P4J0/wCfXfx33eJfBOuc8rFTHsXnnv8KIPJ9hTmPzzn/FSnUcmUsubukctGTSniMDyKZqhuK6gYJUpSU2qiBhgLxX9jwltoEM+Rw162Kb4Sbt9i6ivzz0yxBJfmbyGVz3net4uYd9bpvtkD0tGxq5IiINcsx3/eoIKjRQMGXOIP/g0wAaM5DEv1euNypI7fAfMbBOtroSeE84QaIq1pWrroQECc9PP483/csPuYJ0cNLFlXfcj607hGHOWhqeL/MKyYHnpuBaNRhUZTyWI8+ZrwKS78NwyGtRnSqqhg+PlsJa9Qe2ivVDwRpTsxy4ng/NULhX0XzpOe5DMhlBou9JJkPOUYMHiW3gfHJ9F4UAXE6Q6jPAsRcAAM97p8GiHw6ThUVSxaZ2lI6K8kx+DbULrNX/SJF8fo6WghKb3kfWU19W4UUCbAGiWjOCtHaigorVeO2KXWxV221KtIBgHTEy5G85ahpuahXsigpb796QSGARCRLD9ddfj6effhr/+I//iBUrVsDzPHzrW9/Cueeei//yX/7LYv/5ObFnzx78wz/8A973vvfN+bjbbrsNPT09/N+aNWuW6AiBYpksXP2ryFU29ZWvHleK9nxYQRWkqYoZtIqLnWyTu0mnAQDVJj9nClIfjaXfe+RZocQmKEjMg2Q6XKJmY0Y4oiZtGi/g+hKkdC9/mDYaJkjaaQtTkBjisqC2vmkrrlt3LbJU/Yp6DKq2h197L+Np2o7tQ0qR4/ZKJW5Q9mp1uHJzkzZbZHNUNSvVnSBrh8UKnPv7wLqrULTIuc5nDAzfcjOGjj2JV/z6v+HCJz6HTTu/jAuf+Bxe8etbMXTsSQzfcjMkpbU6PiNIJavE824a2vznkM5NmsUkOREPklOHOUNeu99Lns9SzNgSG/+7GVKynS8HqV1t/gDJwvrQzz4Um4X1oZ99CPftvy/ovmyyQ36pLPESmxa5P6Tp9w+UJezeT95/w5xG3+N7AABqb1+jgsTa/C2H33CYgsTC/9oBloVUqUuQ0rTtOqIg9aX6cFqWpM3P+E8BdECr7xo4MlvH+7+2jZOkPfXL8dWjd8GiY4d+9rXn8cezOeypvxw+JPSvIgqa4gPZGmA45POi2aS8xtCqP7AVbN0xhv94OMjn+88dR3DlHffjnmeO8DJb/e6PQdXJe8tKbC6NKclZpOwcHTfC1i8V5ByG1gimgh9+AvAc2FoBY+iHQzeLdp68PmbSr02Sz7+htq+0yMAUJPb5OSp0sWl9wXkWs8qC7xkAvb5z1XqDguT7vuDFIoqi6cRnhXmez0v1zP/lqBl4pRKsAwe7OkUbWAKCBACKouADH/gAdu/ejb/+67+GYRjwPA9f//rX2/L8H//4xyFJ0pz/RD8UABw+fBhbtmzBDTfcgHe/+91zPv/NN9+M2dlZ/u/AgQNtOe5WUKqSi27oolFAllH55S8x+8P/BAD4rgffbc/F1Uc9SJ4flDS4glRhBIlOX6eyMlOQ9h0mcvKuw09zk/ahenCO+MJfd+JDIoHGEluFhkSigGwquHjUobDqcyIkMZoFpdAtMPNMhXaHICbiX3mboLPW7nrgv/GKNDHXlsmujC4wjmJh1or3IOWE7JRiE/WEjWjJpzQUrr0Wqz7/OWjDQ+ib2YWRicfRN7ML2vAQVn3+c2SmX4vIaBn0i6VLWUeB7nCZgjSXdF4BOVd+KDCzCq84DbtC/Ry5XgDxXWyWa8H2yGsbypLHicRARDAqoj2LaCtZWHc8cgcy9MbWtPTnaLybT/PD5doMjUGoQUdpmhqTzWmorNwwh4Lk++DhhocXQUFiPqTylAmNGbV5mz9tR/d8jI0RP5aae44rSL5n8LP2ie/vxK7HJ7D10B+j4oW9kBlfxtaZv8Ye92pctOblqKbI+empIqQgldOktD2SGSEzINuArTvG8P6vbQvWMQpG7GjHPUwvG7T600wjVybnJn/4lwAaTdqsxKbKlCDFKUgHSODhbOFMABI8+jmy6HrKxo3UqQG/TTNqQxgRSmy+7wdt/gUDUn4EGi1/OtGNqvA9yXMxlbMa1N9oFy6ApmGRVcHAzeZ5OmoabrkE+8AB7kFiZd9uw5IQJIZ8Po/bb78dzz33HN761re27Xn//M//HM8+++yc/zZv3swff/jwYVx99dW44oor8KUvfWne5zcMA4VCIfRvqVCsE5Wmf10vUvQ1WLt3k59973vY/ZvXoHjvvSf8dzRF5om53KjNFaRjwORuXmKTLA++7+OwRG78Gt3hpyxwBeneg1t5qSIvdOfEjhkBghKb7wKuzQnSMb/Ab9jFe+/FwQ/eGPq1F3/7+ra8fhGsWyhaYqtaDh72NnEFyarZAkGiqbymDE8O2qDjkrQ5QdKy/KY4G+2IoWDHwM5h4dprseEn9+G0r3wFK++8E6d95SvY8JP7FkSOGFirP0B278wEHCgn8cTA932UfEqQXD80csV8cR8AQMlIcGjhyaImbZH8iONXBrMF+rxomOvkuB4/B+0qsc2XheWDeGLqCrnOqk3OQzbX06TE5iNDv1/zU5Br5CasCZ8Dr17HFDXHMwUprSlgjVfs3I8tgoLESmyl6TovWQclNvK+PrJ3CtPHSLSGkt0NSaVGXnpD9AEcmanjp//nefqscX4+H7+cfhskyNBoJxshSCwksooyJU43XXYT36CcCFzPxye+vzM2I519b7Y6AwCo+3lOkPjv02u3t04aUpqV2HRGkIQZdoGCtJ38bo5Gk6TJ67JTvQCCgbV1Wv4y0u3v3mIltiqNiWBREUP5FJAb4uNGXLXxc+VQb6Ti1fHsaVLDqCSRMBn0PDRTm9nmQpaATFZQkGaLsA4dgk2T1TPLXUH61re+1bY/etppp+F//+//jV//+tf8ewcPHsRDDz10XM+3YsUKnH322XP+S9FSyKFDh/DqV78aF110Ef7t3/4NcptMzosB23JRtckHSNqzB/Wnnmp4jDM+jkMfvLEtJKFpFlIl7EGCB9SrFh6afYI8jNqG0pYvzCCzeWcK72ITTNpNPUgAUZFoi/+kX0DOUFG8914c+uCNcI+GfQrtfP0MbPZUtMRWsVw876+GL5ObuH3sYKCeMAXJS8GlGUiyIsGXvKYm7YyW4aSU+WyiYDdKVqYEgpl9Pb/9emQvv6zlsloUq/Kr+P+Lwyhz83iQ6raHkk9LEo7ECZJfraK+Zx8AwBg0eCaOrZjw4YdD9qj/KKNmkDU0nnUTJWUicWzXqJFWvS6+UqTHFL87PmPVUECQhDtyCsF72VMoQKqR39dp1xoAlO65Bx/45FO47HmPEyRJkkJGbd/3gxJbWxUklqYdKEjREttEqQ7PHIZn90CSHaj5nQACxQAAVjsy7LKN5uGlMspOH8Z2zaAwTGwJa5wenoGk2lU4+RQ+++rP4pq117TltT2yd4r7tuLgA/B8ck5FBYnBkci56fMJgWiWg2TQ0SFhBYkSJPo5n8iQkFCJEiAzMrC2To39RhtLxwxpXeFdn08dohtZRSIBkuk+6NR07ygpINIdyRQkNa/Dl6UGBYl9nVbTyOjkbzRTkNj1nDWCFHNbS8PcuxeOJ3Ov5rIvsb3lLW/Bueee21aidMkll+Cll17C+9//fmzYsAH33dfeLIwoDh8+jFe/+tVYs2YN7rzzThw9ehRHjhzBkSNHFvXvHi9Kx8iHWJcqmP5f345/EN2Vj3/qthMut63gadqRcSMTOwGrDEVyYNN92GP7n8BRhZqNqeAkKki2bPHOFDEHKTAoRxQk2i5MfrnGFaRJ9CCnSRj/1G3xLe5tfP0MhXR8ia1qOvAho6iShc4+ejBQT0pkEXJdo8GoXnNqMN0gPoGfAzXDF7FoOYCBK0ip9i+iK7NBeVKRFN5mzUtsths7umS2ZqMk0d2gEwRFAkD9+X0AAGMoDZuOnXAU8trFhTZI0c5BkiTu+4qqdqzFP59SoSrt2cy06nXpNwhxaWbSVowsL7GpQomNldcA4MO/fT4q01Q1rYUjGHqKLv7qux56fhU0rIhG7WLd4f6NlYugIJWn61BoyZplemm0E20onwIgwSkTH5KSIo0hIkHK+s2IURiVogm1n3RO3XzmB3DDWlI90JwKrjn3d9tGjoCgW2vO46GEoO7n+bgRBpsSpAFKkCp2BXUheoSR/BQlEWEPUnjTdyS1HgCgUHOySYcye2UWqkkH1Rba996KYCNHnjpA1qbBnEFUYkmCrpLj7vkvvw91ONzN6feR0rveT0cARXKQxPUrM09WGNtk5QxVMGln4BWL3H+kGgon5t2GllecjRs34plnnsFb3/pWnH766bjlllvwzDPPHNcfrVQq+NrXvobXve512LBhA770pS/BdV1s2LBh/l8+Adx7773YvXs37r//fqxevRqjo6P8XzeiOEmHQ/pH4R6bI9/G9+EcOYLqY4+f0N/jrf7RcSMlYsacUIZQpbkhx6anUKVrZZY+PG2BkwOXjiY4Wj0a6mITdx8hSBLAvicSJL+A4X3PwZmLxLbp9TMwtSYknyNYBKbpjdOeORooSJQgeY7Bd0WarkCRyIUvqkjiLDpGkNi8sfDL8gUP0omHBIq4b/99+NYLwWZn28Q23sHF2vx9H7EhcLM1GyXQPB1XBgwDoEps7QVijDVGclxBknTymQkRJLro5ukiyQhgVLWarbU/JHK+LCzmiTkjfy451qZt/sEsNpG+pilBcmUDr1y9Ar4vAb4Hwwp3v8qgHUN/9yVO7sV5bCwksjej8RtRO5CjadqV6TqmvkE+A0xBOvqJ/4bivffisnX9GO1JwS2dHfpdSakA8CABSLXoG8kWDCj95JrxpmcwQEcnqU4Vam/7RmwAjNjNjYMgGxzTyzUqSNR83ZMvQJcbW/1FcgBEvIN6mCAd1EiHrU69N6ZEfselWUgsOD7d2745bCJYNMRTB2cAAIMCEdM18rrV1UNByf6NIzjt6mMYePebAAApulEs2+VQeZxtbrJalpfjm20iwgpSQJAA8A62TJf6j4AFEKRnnnkGd955JwYGBvDSSy/hjjvuwHnnnYezzz4b73rXu/BP//RPeOihh7B7925MTk7C8zxUKhUcOHAATz31FL797W/jpptuwtVXX42hoSG8853vxD333APHcbBlyxZs374df/iHf7iYrxXvete74Pt+7L9uRJEqSDm3tZKAc7S1xzVDY4ktHH9wQFoFNn4o5/aiQq83riDZCEZsKOQ5BjOD/OZeFrrYGkpsQHhgreBByldaG4J8oq+fgZXYSg0mbXKxT6cJobZLRcgZOm6E7gpdRxMUJAU9dMSE6EMSF1lWNorzIJmOB9sln81cGwkS6+AqRm7YrIPrl4d/ylX3OG/BbM3GjE/efB8yPMGHZB4ipdHUaIEPLpXp2AbRqM0H1dKbCiNlUTIyTcP0+toYEjl/FhbxxBRSlEg0DYoMZrFpvgRDlfF3b7kA/3QDIRWKkcGxXz0BADCsWch+Y6ePDMA9Ms7JvVhiG5thIZHtK68BxO8hSz58SKjRGWSMIEmTR3Dogzeict+Pcev1mwC5HhJu9b5Hkd1wB5T8Drz3TS+jMxKbrZ8+cqkqRjf2QqEKkjs1CbPKAhLDc9jaAUbsmk8sBFTqMax7YQ+SJ8lwQa5d/bU3oT9N1j+RIDEFKavFKEi6oIr3rcOMQ86pQQmAAxWurPOBtWxQbbqNg2pFMKP2k5QgDeUD9U+n16RVKgUl+zM1ZIct2B75vXSW+c38ICATCDXaZOZp6GCRFWKJjWcsdXkHG7AAgqSqKj70oQ9h7969uOOOO7BmzRr4vo8XXngB//7v/46/+Iu/wFVXXYWzzjoLQ0ND0DQNhUIBp59+Oi688EK85S1vwZ133omf//znqNVqkGUZv/d7v4df/epX+OEPfxgyUScgKB4jF2NBmX+YKQCogyfWJsuzkJhJm5XYKPZjFDWqIK1ST+OBYxna3psyRQXJ4Z0pIYIU2YGFoAk1fOpBmkIBWovhhyf6+hmYSTvaWcbIQpWWaGxXg0yleE6QbDUUlsk6w+IUpKyWRQ8NpJuJUZBYuUmSgvEfJ4pWOrg+/einkeUdXPEK0owU7EYdywvKbPRp9VX9sOnxswRdsdWftQ4zBSkuJBEIWvx72hwSOVcWFvPEzJsormdCHqRzVhbwuxeuwgUj9Fi1LEpjMwDQkF0VBSP3WaHEdpgqSCt72lyC8T0YJlGk2ZxH1sWm0HLS+Kdug5p5GunVX28gG7I6i/Tqr0Hr2RnMSER8m/crNu+GLEtQqYLkTE2jXqGfC6f9BEmRJULs0OiMYl//5vl0Bt2q14QmETD/JABo5/027/KMI0isAzVUhhdV8dww6ib57GYyKp8sYOoFuJQg2ZSMpYfaq6IxjFLFiG14RYLEzPhWWYjfoNen6RAik87oXAEXy2yiTSJD41yqTcaNsDUzZygw6Lpq07Xf6vIMJOA4utiy2Sw+8pGP4MUXX8SPfvQj/NEf/RHWrl3bVJkR/6VSKbzqVa/Cpz/9aezfvx/f/va3cfnlly/G6zopUDpKmHp/7jDU4aEGMx2HJEEdGWk5JLAZGtK0jTzxBlG86I1wgmRWXNxw4TsBBCW2lO1zD5IjW7wzJc8VmfkUJCELSSixaRdcRLptFvn1MzQzabNdkk4Jn+WlITtk8WTz2FxbCXmQeo1eAGGCJJq0Aw9So0mbKVg5XW1pEG8raLWDK5XfT441Rj0p1mzMIBPMVrLcUNCdlnWg5PJcQdJTbBFt3IWyQbXZmJBEIFDW2qkgMTTLwmKemHmH1eq5UIntnJVELeRRFXoGdYXcBOYjSIzci5sJriC10X8EANXHHodBNyB1gyo7VEFSXJOXrL/97f9OfiGGaUiQcMcjd+D08wew5bKnkJUjw53hAZAwXSMERB0gZMOdFBQkpwqlt6etrw0AtmwexRfedhFXUBhGelL4wtsuwgXryTHVlUGoH/hx8IB+siGUFQmKKnOCJI4bYZ/hvEEJEivD77wb+PkdwXMdeBg3PX8DrpMfQdrQkOkha4Jl9MArlUiSN10nMiOLRJAi6euDooJEN2ZWVfBs0Q5jyybXmpHW+PUplsdFBYkpv806PVmDQ85Qef6U00CQurfEdtzbUlmWcd111+G6664DQLrDHnroIRw8eBBHjx7F1NQUUqkUBgcHMTg4iHPPPReXXHIJNK17T0a3oXiMXIwFdQL9t9yMQzd+iJAEUfOmpGEhIYHNMBA1aUsSkB4AysSDJDl11OhcoXrZwuXnvQYv4rPImeQY0hYwTQnV+y5+L7/RiMbTpiZtILbENukXkM+SkMRDH7xxUV8/Q5CDFK8gsRu+7acg18m58SoVoBdwLYl3sam6wgnS8ZTYmJrSzvJaqx1cukF2jHHkYLZmYwaEHJi+BtsMEySjxwHUFPcgaSkFsMKLLGsdztE2X0YMoiW96UVK0WZgWVhxCJK0myhIWoabtHUfOGMljf+wKEHS0rAKwwAOcMUmCh+AJpB7UUlr95gRBufoUaRMQmjqqT74iBAkhmNTwHD8HpoR6W0T23Dp2hLW7X8vxjbchMrZ78JP902i59dfwmT5jXj82ZVYf7iMFJ1W4ExP8Sn26iKU2Bi2bB7FazeN4JG9U5go1TGUT+Gydf1QZAn7dxDCY1btkILk9xNliRmGWT6VmIXENng9KUFB2nk38M13IFpq7HGO4gva5/DLqbU42nM+isfqsPQC3HIJ9RmWyO0hvbJ9AZkiRiMEUfRn6Vny/7aoXFOCZNoKAAd6WkHOymHWnA2FRXKCpGYh63NfIxXBg6RTBcmha7+9DEpsbVt5V61ahRtuuKFdT3fKw/d9FCfJzaFgzKJw3Rbg8zLGP3VbyLCsDg9j+JabjysHJwruQWIm7Z13kwwkio/IX8NPVQk7zd9DrWxDzpEFJGvJ+PK1/xPWF/6EJ0i/fM1l/PfYDd5yPZSsoL27ATwsMiixHUMPsoZKXt/nP7eor58hKLHFK0gpJhX7acjVQwAy8GpVQpBMCZ7MTNoyCga5aYYIkmjSZgRpjhJbOw3arXZwZRRyQ2vmQZr1yZgN08/BMZ1QJ5vRY8OVM/AccsMw0hpQjPcgMYLE0rujXWztDolcCObLgyKz2MIlNgCBgqRlUZ6hGWHmDDyEJXuisYTJvTj/LSixtZcgqYODSNVpic3oJ6ov7SAVCdJ0C9aYo9WjgJaGLHlY1XMIuHQEP5ot4ezU48jbo9hnXoaf/vtz+K03UqVqciqiIPW29bWJUGQJV6xvHObNk7QrNiRdJ0mNlgWX5v8wgjSXB6nXICenXK0DW29CnA9LBnmPL372Dvyil5jhTTqwtjpGSJfq1qH19Z7wa41DI0ESFKQcVXHEEjr93FoW+SwYGQ05nypIwrgRHtWiZyHPY9KO62JzFQOeJMPSuzsDCWgjQUrQXphVB5ZJ6vr5NFWSrr0W+d/8TVQfexzO0aNQBweRueTitiknK8QSW5Nd0QqZlGfqYwegFE4n33RdXFw4B087gv9GGDUi+mdK1hwKEgstqx7jF+ukX+Ay7mK/fobmOUjkYk+lVdQB2MhAli0AGXgVsnB6dY97GUQFKeRBEhQkf442fzFFu11gHVwT1YlYH5IECcOZYfSbZ2E3Zpp6kIrIQpXIQulUypAy4ffT9IKbejpNFmaxxCa2+QPxk+yBgCAtRoltPsyXBwVZhkLb4lVI2DhEGYVQYquM0ynqb3k9pu76CVYImXtTeeDQu6/DJoHc5wW1leX5RG90J4rMJRcjY5ApBvVUH1ePAEBxLTKMeLAPz66ZvzliMDMYtLdTBaJqOeiRq7i48CUcmr0U43uLeP6FHFIAnJkZmNSDpNmVRSVIzcBGXtSLdez+zWsANjz20BFgMPBhMQUproutL5MDUMHaylNA/XDTvyVLQKZ2BJk+8hyW3gO3PIHKOPla8+ptGzgeRbTEOFQQCFK+AMCEZQprAFOQLPKZ1tMKshZ5b0UFic/TVLMAJ0jz5yCZD/4MjHI4apqbtLHvOQBLN75rIejelMRTHMygnZan+QBJoH0hgXFgJbZSzYT/o/hdUYaG59UO74ekawAtmbqlEjTT4XV1RQ+MC7IsBOC1oiDNkFbxuq+hghTyRnBzXMzXz8BykBqTtMkikKYLrIUsZJoQ6NXJourWPa4gNfMgxZu04zxIwe6rXWi1gytH5x808yCZ0KFK5Jhnf/kQqr/6Ff/55LN57PrUVgDkHGRpd09cDlKe+hDy85i0O6EgZYUSW1weFABApTPpIEFj55PttrU0ynTMyPCrX44/+4CCj/+hjMKnbsX3//JS/NkHFHivvCz0dOE2fzpmpM0lNklRMPKm1wEA6kZ/UF5z6tzmt+pv/iuGciPzRiFcNHRRuDQOcr7yqCKnTOIVV5Nr5ZH7jqCWGiBdXPRcqr4JObc4HVxzIcUSnR0J1vgE/z47D/6h/Sjee2+8B4leuwNp2qJuBgr7XMho5PNu6QV4pTLqdFCtJjWfd3iiyOgqCsK948BUDS4993oP8X5ZlkwsC54LUGJoUVuSnlb59dnUg9RiiW3dzkcw9pc3cvLpqBne5l/+139u+zSEdiEhSF0K1uLfo4wD+tIsIj1pkmh8mfwcpFL8rihN07TrdgrSS7+CQhc4d2oKsB2uIB2shufVcT+HHZCDBjCT9gz53WPogSxJSGlL+zHlOUhN2vyzdIG1XQ2SSglSjWbf1JyQghTX5h+XpD1ba1woF6PEBpx4BxfzS8kK+dnEV74Nvx4O6DPLNGdFcvl7HZeDxH6WbUKQghLb0itIWUH5bNalYwu7f5udK0oUfDWL8gz5XOT7UkjpGexcK8N77W9gx2mAL0s8RZv/TXoe9k9WYDkeJAkYXoQgweFrXgEAMNMDQQeba0IdHsaqz38OvddtaUqkfZ9snfh4ELaxocSwYjkoUHXxnJf3Y+XGXjiWhxfOeTsslU4G8ByURjbFZr8uNjQjeD2OsFFzBB/W+Kduw4BGyoJxCtKKLLm577fzLf3NTD95HCmxFVGdJJ9/XWn/oFqGrTvGQsTlz/73Nlx5x/3YumMMGu1AtrwUUJ8NhoQDME1WGlf59SmOGxHXr/S8JTYXsu/hzG/9C+D7UJ1gBhxTkHS71Nag33YiIUhdChYSmVfGGwLIFguyLKEvo2MIM00fw8aN1LwCUB6HXCAfcvvIOO9gA4BtU+HhwOwmL/pvGsB2olRBmqRz2KRm3WuLhIIwGkVUDthik8ux1ynBUwkZ8qokL8at2oKCFBCkZiU2HhRZsxryuBYzRXu+Dq7sHOUlRpAUmQ76lBvVHTbjSS5NIUNvwCGTdrTNXxhoLGKmgwpSSpP5bLRmZbaqr0GhwZA2K0fS97fm9xAflgRkewyumlbtasOgWga2kdg1Tm6ggzkDutr+ZZqFRTpKCj23fBIAYKzoDc31a0akfacHf7H5vwcJ2FEFqe6gQIehSpleXP22s6GoMibzG/HopbeQ55BVbFv/J/jqLQ9hz/YJLCXq27ZBpe+RLWzURKO6c+QI+l4gXkdGkHw/GJczSAnSr5yz4OVXotm4Fc8H7OxKZM8gieSW0QO3XEZ9lo4sMWJ/7YTBBvY6EeWTDezdfpSqRX4GKE+ECJLFRuM0UZDETS5LwG8WhVE2HZxz7EUY00RpU+n5s7UcP/e6WWxr0G87kRCkLgUbM1JQJpaMIAHEhzSB3qY/T0k0BdbPw8sMQcmRC8gZPxIiSI8c/XXo99gN0HRp0JoapyBR0jRLFKRJv8BLL0sJRuZ8HygJN0ae6ZENbtZejsT0e5UyfEcCPF/oYmsssXm+xxdZsc3fdv0GmXqxUrQZWAfXb53xW7h05NLQsFC+8M1BkGSHHK+YH8PAVQmzgpFd5AYTavO3wm3+3O8T2YnOLGKb/3yQJGlOoggA005QanSoZ5ArKS4p0WTyOhRV5puCmlPjnVFRBYm91+xzF23Vbhf0VGCarfWQocVGb7ahZB0l0mc4H0Zl903o8S8KHsSbKyjpsGowWOko1YPe4QzWX0SaA6LDUSszJrbetWNJSZJz9ChUajQWFaRoJ1+uSN7X6fo0PN9D3a1z395AJg9FluBBRvHV/4M+Q5gkMW4y/cpPIkPfR0svAK6L2hT5+8YiXNutDOz90q/2kePx00B5XGgsyMCk8RxGJl5BCidp08/QHCW2fjP4XY1ukGupFaQxwPeC96JNQb/tREKQuhShkMglKrEBpJPtEe9s1FLDiNsVpeQSWChcfcWlIQWJ3ShdycGjRx+B7QUlKnID9GB61FulxSz8bPGko02YgrTUSGkK37WLRm2xZZV1urgrLwQAeKYDl3Z/ePR1aDFt/nUnWGQzagZpTYGmkPMcbfXng2o7cA6yTQgLIBAkmgztxSlIgq8lVySPF7vYmIIUJUiigmQ6LieNnVCQgKDMFmdWL9ZtzNgqb/V37HCJrWyRrrZcHzkXTEGark/zHXlDiS0SCNr2kEgBbGjt1GFyLM3mYYlE+sLBSwDI2D0hzOeKKEhyfQYASVmHnoPn+Tj0wgyaJ24DD35zV3OfV5uhDg5Ci1WQglIjABRWnk6+77uYNWdDBD+tprm/5+jqa4E3fxUohEdWHcEA3m/fCGy6HpkCzR3ScvAkOVCQcu0n/q0M7D1Ew4BtL0MJEm0yUbNwzEBBYl2mzTxI82WFlU0HU0ZQhmQKUjVDNpaaXeHrSLuCftuJhCB1KYqTnVGQBrIGPMj45caP0O9ESJLkwaD+gnrFg5InNwHnSKAguTKZufbMsWBWXyGlAVJAAOI9SOGy2yRt8e8ECkK4JQNr8w8RpFWXAAA8R4JLuz88mpESLbH5fhDZL0FCWk1DkqSmadqL5UFqBVm+8DX3IGkpNqYiRkGiJFF161DowhfnQeJt/kZYOQGC8yFLnSGJ5LhYCaHxBvDs4SKqSPGwyGiJrUw7gBgRYQrSgRJRSDVZ4yVGhmjmVbvHjIjI0zLb1BgjSPOf443D5P16YVxox4sSJDrCxtELgCRhbNcMKjMmmpWhAKA8bWJs18wCX8HxIXPJxdAV8n7aTRQkdWQEhUsv59fvVH2KK79pNQ1FVsJDrTe9AbhxB/DOHwBv+p8w/8vduNL8PO7xLkNGV5HO68QAL8mwtTxMOkJnMQbVtjKw16KBvw4MeMWJoMVfCcZL6WmVb2CYagQINgk1w6Mw4mY2AuS6eWbFGfBWkKBj5kGq0rKtbpfbHvTbTiQEqQvhez73IBWW0IMEAP20fPR49qrYXdG0Moh0DzmeWtmCnCcXkD0+zr0oMm19/tVY0NmUM1RIMpGsZUlGSolZGCKq0jG/0BFyADRmIfm+z2+SWV3hUf3OKFGQfFeGS+daeTp5Haou8wXW8R1U7EooKJN5q5qlabO/nVsED9J8aFZaqtsuTIfs+NIryOuMI0hsN65pEtQLyNBX9tpdz+WLLCNIcS31YgZSu5LEF4q5SmzPHC6iCoPPY2sgSCY1oEcUJEaQBtIDDf46sWMTAFa2OUVbRK6fPPc0JUgsAHUubBwihI55pAA0lNhUSpBcmgFWKQrhk3Og1cedKCRFQe6sdQAAp4kHiWVTieNG2GeWDdoO4kDoZ0NWgHVXAef+PsqjL4dHb69pTYEsS0gzFUkvwHLoz3rbv7a3MrDXEj521sxk0OIvE/O2qstQFJlfn+KoEVFBSmtzl6ArpgtPkqH8xV+R521QkAjRbmfQbzuREKQuRGXWguf4kCQPOeXYknuQADqPTdgVPXj+7Xir9THcfNp/ID1ALqJ62Q4rSNR7o9NF/tdjgQ8pl1IBmSyAGTUTb7yOEKRJv9BQclgqRLOQTMfjnoKMoCA5s2P8d+wq+Z7n0ZwXXUFaTcOgC++sNRt0gAg712ZhkbzE1gGS2MwTxEibJAEGzTfyZL1hDAxTkPIXnINsKmz0FEttzAQaV2Jb7BTtVsA+f3FhkTvHiqj6KR4W6VjMg0QJUpWcg1wvJUhMQSpTghQxaAOBYsXQ7hZ/EXlKkNhImGYlNhEs6+nQTC24KUYUJNUmBMmnBCkr5O/MhVYf1w7kzyC5O25vYEBnBKn/t6/jRnWepl2b5ASfE6QmgbJA0NBhqDIUSu5Zmc3UC1y5Sq9orQtuIWhlYO9wbwqqQj6v1uxMMGZE6iXHTV/bfCU29nlt5kHi0wBeew1Wff5z0KnqzEbcGLKNVZ//XFuDftuJhCB1IXgHW7oGWfKW2IMUGTdCd0XPrbgOD3ubkDF0pGjdvFa2YxWkbIosIE8efTKYXZRSIQkEKRZRgoRCW8dsLARBqz+5wMUdUlpT+Dw255dfBKhczQmSTH6mjpNOvh49aPWPm0XXbNxIJ0tsGU4MwgsfI4yFlAaNlgZTZ66AOjwcepyfJwtgduPpDW3+bDeqyRp0qj7xoEghc6iTLf4MYhZSFExB0jhBCitIlRo5buZBYjfWg6WDABr9R0BciW0xFaQwIWmFIPVldayga8Qu5kMSh0x7HgyHfj/VCwAY3diLbK+BuTxIuT4Doxt7F3L4JwSWpp1901tx2le+gpV33gn9MhJ9kD9vE38cz0KqT4aaK4DmgbJAUHJiJSiAdDICpJONjdtYjEG1rQzsvfX6TdB0um4VZ4NBtRJZq9hYEFZiY55BscmEmLSbd7FZjgeLqs05Og1h9H1/TA+EUI+h61/bteQISAhSV6JEDdr5VGQBWgIM0BIbmwDNwLwoaV3lBKletriC5Ndq3IOUThlYlVsFx3Pw+Dhp3SQlNkqQmr0eNaog9bQ1JHEhCMIiyeLHQyI1BYosQaPT7m0/zcMi7Qr1JbEcpO3/CnguelLUh1QPFKS08Fp7mqRps79d6EiJLX4IJSNxPWkNaorcvKWshg0/uY/caH6jiNOuPoYMndGopxT+fjNyyDpimHoEhMMwmWrFWvz7OmTQBkQvVvg8WI6H3RMlSpCalNjo5yFq0j5UPgQgXkEyVAW6EizLi6kgMW8Ug9ZCiQ0AzqQ+pF3MhyRsbHynBsMh35fS5HMvyxKuestGAJE5igKufPPGJS2jsrDIetXlwbN+lqxlIlFsqcRWb1QX2XqRERTwOAUpM7w4g2rnG9i7ZfMoV3OsciVQkECziaIKEu3MFI3q83WxidcM22iksuFrOb2EquHxIBk10oWYZS3++gz5xlKatOnucLIS9gNUBf9NWiIf8lrZ5l1sAIIxI7qCl4++HN/Z9R08PPYwrlp9FbnRUA+S7+lwPZ9LzxwxHqRoyWGpEPUXcP8RPR7NJbOsbD8FTfXgWTKcKp01xHKQaoeA/Q8Frf7WLC8tiiSxt4lJu7wISdqtIujeak6QtAx5vxzbJwnnl14M/IiQetuh5ykVtArXnBpcz+UkkS2+AClFqLIEx/NRMV3kUxonjD1doCBFzeq7JkqwXR9eKstLbDwo0qrC94FymdyAsr1hk7ZDS7BxCpLr+dBVCZZLzOmLSQ5ZiY2hFQUJIGW2h/ZMCgpScN2atQryIO+vku7l319/4RB+842DePAbL8BMBaQg12fgyjdvxPoLw1lLiw2DfqZM4ZqLKzWK89jE/DJAKLHFKEhsvUwLClKmJ/AgOTTmJL2ICuFcA3sBQE9pABxY5VqgIPlkPWcREOwaZQoSu3YVSYGhGMjo5LVbrgfb9aAJ5J6V13RV5t9nz8vQzYNqgURB6kowBamg04j7JSyxheaxCeA7IkNUkGwo+YAgucKIjZePvhwA8PDYw9i6Ywx3bH2eK0h7xm2e6BpChCBNoYCc0ZmbY9RfwG6QbMekSTTwzE9DVsMlNpcSSFUygfJ4qNW/ZgfyNEMQFhkstK7nc9m6M11s8UnaIQWJzl9zbEp0xbA5i440SCmh11p1qg1z2IBw5lDZJH9jugsUpGZerGcOE59NT09P4EHiClIFpp+HS3+Fe5AipeWogrR1xxiuvON+Xtb0fOBVn/lp43XSJmR79JB1rJUuNgDYOMyM2lRBkhWA+ndqlRIKErnZKpne0O9tePlqvOLh/4oLn/gcNu38Mn7rTQN4+9++YsnJEQCk+MDa4H1lCqCopIkeJF5iUyMlthgPUs1qXmKrpofg08wxY5HJPxvY+8YLVuGK9QOhTameoSW/mg3QrCILNLwxUmLjmxsnSNGWJCmkkEXL0Dw3TvhcRQlSNw+qBRKC1JUIWvxpcFYHutiqlhuSTdmHPaMrSIc8SKKCRAMSNQWXjZIZUy9Mv4AP/J9fYKZq8y42eAZPdA0t/gJBqspZ2FCR67iCxEpsQQYSAGiUHNh+KiixVWnbOyWKmmQBuWEUdCLdz5gzsSbtwIMUkFLRrNwJH5ZYWhITvpmRvCetQc1S/5lLlxEnaC+2qQCpp1Tosg5VokTDrvASm6ggAYJRm96oZmgrdCdN2uwGFzVp76QEqb+vP8hBYiZtu4ayS26s6bwGhY7KiZaWRQWJJR9H82tir5M2QVZk6g0iaKWLDQiM2i+EOtnItVuvllGgCpIsKEgAoPT0QFJk9M3swsjE41i9eahj3YkGLbGxdntAIEhGI0EKtflrzKQd6WITIJbkGViJrZodAQDIvgtV79wtWM9Sk76f5tMLTI98RqMmbYC0+kdHRelU+QUax40EuXHBOYgSQtbZ161ICFIXgodEyiTqfikJUs5QeUiiWGZjZCmrKy0pSP2pfpzZdxYAQM7uIQ+gCpLvGdyu+Ynv7+QDFEWCNCv3kr/XsRwkmsvDTdrB6wcAfYikD4sKkk+Jggty01HzfcDaV3AFqWgWY0et8DZ/Qe4vURVFV2UY6tKTRHbeHc+H5Xr8+2xmXCGtQaXjFhxXBRwrUJAUIyhXpBSy02Q+JLvakIHEkI+MG2GxB73ZzitIUS8WI0gjK/pjS2xldwX5fcHnk4547NjNt5Xk49B10kaIZbZWS2xnUgUp3MlG3l+zVuEKEjNpM0iyDKUvKK8pveGfLyWYklGvzk2QWiqxtaggZaiCZNIOLk2yl3yMkgidEjzLTwPT+8j/e2n6M7oRVDTehVuxK0GKtjAJIcPnsYUVJLbREasA7HkZ0vnObX5aQUKQugyu4/EBlwWJDnxdwhKbJElYkW0ss7FSS1pXkc4xD5IFmZq0AXCTtkovmLWZ8wEASnYXeW6BIAFk8R+breORvXQYpEAapkEMnp02aQclNqqgMQWJKky2l+IECQA8SYZH1RL1tR8F5HCa9lwKUoggUZJQ6FAXnxivIPpvWImtkFahsTEzfgqozwQESUvBZv4DevxiJ1tciQ1oHFg7Xe0GBamxm8/zfOwcIwRp5dCKQEEyXWJCtqsoe4T8iApNQ4mNKkitJB+HrpM2ghnIgdYJEulkI2vA7ogPyayV+Rw20OYEEZwUqSpqTz3dsQGlzKRtVh34lHjGEiTWxTZXiW0OD1JGWL+yPWGir6seOgmmGFpehhMk0yWEWSyFsWu3bJdDLf4M7BqpRnx6bM3MhRSkpMSW4ARQmqoDPlFh0u44+eYSKkhAvFGb7aBDClLJhpIPbnK8e4uWFEb188jXmd0AfG7Shhe+KHjyqzCnaQp0TEOHk7SL9UiJjZI/tojaq14JOR0ctzh2Qz339QDAwyJnzJlQUCRDXJv/Yg6qbQWKLCFF30fRqB3uYqMk0deB2gxp8wYANc0HXjI/BydIjkCQmpbYyN9j5bxu62I7MF1F2XSgqzJGowqSUwfg8xKbSEAaSmxUQWol+Xghj1sIssLxzYxXWx73wQMjGUHSqR+tXkGBJu1HCVLx3nthv0RKOXAcvPTOd2L3b16D4r33nsArOD7wG7UPmDUHnuvBtQlh0YU1h71HVafK5+c1lNjiuthYm39MiY1Bg9XRCfYaVXNsPw3M7AcAWA75POjCxkwMi4xbv9i4kWiJrcxLbMFzaYYCiZbkFFVuuXOyU0gIUpeBldfyA2lILJxryQlSY6u/aNJmsqhje3D1oGwQVZAuHbkYvq9A1mcgaVMNChIDT35Vgu/7rgMZXsdKbDwHiXexRUzabPdlDEG+5C3893iqtEQWAAChcSNxOUhszphIkJhRuVMEUfzbokE5RJCof8LxDaA2Ddj0Bq6lYUUUJLaghjxIehOCVA+btDuZg8RLbMI5YOW1s4bzUFM5IQfJ4yGRlTiCJChIqqSiQIMUW0k+XsjjWsWe7RPY+WDgbXrgm7vw1Vseamlw7MaGVn/qyauX0YNGglS8914c+uCN8K1w84czPo5DH7xxyUmSqin882tWHdhWoOaIClJWy0Knmx4Wz9CKghRXYqv+7CdQ3aCRQTpyoGMEERAUJD8DuOR9MR3yWsVSmDhuJF5BogTJjleQxDXcp5t/gKyhTVIfugYJQeoyFFmL/4AR7MiXsMQGBEbtyRBBCkzamqFAVskuwKx5kHPk+LiCRC+AqzasgmKdTr6X3c1N2j5VkCSQILzL1vUDO+8G/uXV/O9d5T+GB42/wPChziweDTlIEcMh22XadRdyNlgsRJLIR4mwNn9h4GVcknbZdGBTv08nQyIZMjGt/kWxzZ8ujLzERj+vrpKD5wRdbEDgWajaVb7INswhEzrnfN/viqDITEySNutgO2dlAdBz4VEjLAPJJ/PnRA+SuOvuT/VDpmF5rSQf8+ukTdizfQJb79oBK2IwrsyY2HrXjnlJEu9ki5TYXFP0IBGC5Lsuxj91W3wGEv3e+KduW3I1JSiz2bDp9SYrEjfVA8RywHxILOAzzoPkR16bmBsHBARRr8/yx2hOtWMEEQg2L5YXfC4th3xPLIWJCtJxldjoz/dsn8BXb3kINvUn1st2y4S8U0gIUpehxGaw9Qk3Rn3pgiIB8KTcKaHEVhF2RJIkIU0Xl1rJ4p1snBxQWVmRJVyz7jfI97K7uUkbnhFKdFWe+z7wzXcApXCnzgimMLz1Twl5WmKIIXBkDltEQWIlNtMJESRGEjWhOyVUYosxaRcEjw0jIMUuIEhxGUCs5EgUJEqQYMCvTgdhc3LgS9PiPEjMpN3Eg1SqO6jZLjeHd0Obv2hAZf6jTSsLgJYJJ2kzguRRgtTEgyR2sLWafNyQG3ac8DwfD3xj15yPefCbu+YstwWdbGEFyalXGjxI1cceh3PkSPM/5vtwjhxB9bHHW3wF7QHrqKpX7Fj/EQMvhVbJjZyX2FiJ2fVRt8N+opodbChFgqjTOXUAoDqVjhLEQEEScqwsugFMxxCk+RSkhhJbMNybEfLKTDhfr1VC3ikkBKnLwBWkHroYSnLIm7MUGIhRkIIuNpqISs11Yieb2MXG8PbzX0u+l9sDSSGvzfeMINF10xCw9SbEjSHg94OtHwW8pV082O7Q9XxULbfRg5RiBMmFnAlufH6GkANV8B4wglSySpwciF0giixxIsTCEYOQyE6Wlxr9N3ElNgBwyrPCPCfyelVd5m3coRKb3aTNPxUoVsygrSlSqEyx1GD+irCCRFQAoiAJQZGmA1gVEhLp0FErTTxITJVgaCX5uF0Y2zXTcKOKojxtYmzXTNOfs062g9M1cm1Q0iDXp6BJ9FqlBMk5erSl42r1ce0Cy0IyK86cBIkZtX26RjGim9EVTlqjnWxVYUMpEkTDEhQklkrdIYLINi+WLyhIFg10bFJii7MIsHtCQw4SV5DkEybknUKSpN1F8Dwfxw6Sm4ddr8PzZchGrmEQ6GKDmbSP0Xls4iR7drMSs5AMpiCxHCThxrl5xWZktSwqdgXZ/GGYHgBPx//840vJDnzvA0DxcNNjkeADRZJIjXVXtfeFzgE2UsT1fJTqThAUaYQVJCtSYvMLwTRsBkaQfPg4UjlCnz/c8t2b0VCqO7ysxEp73VBiKzclSMHNxCkVeVebLdFxBcKxt6Ig5QQyMsP9R3pHW6F52Y/mQU1WLIwXTUgScNZIAVD9QEEyHcD2YPpZ4stCWEHSBQO/7/twPReKHJzD+ZKP24VKcW5y1Mrj+rM6BrI6JisWdk+UcR79POtV0ljiQoFCvZPq4GBLf6/Vx7ULLAupXrGRqVPldw6CxMAIkiRJKKRUTFdtFGs2hgsBueU5SLoSIn5hBSkY2wEsPUFkKhFTkHwfsCwp9DNg/hJbukmbPyNI6Vm3ZUK+6qzFGb1yvEgUpC4Bq8/OjJNd+CP3zeKrR+/CHus3lvxYBniaNvlQm47H7QOMIMRlIXEFSVBPVFnFpcOXkufxyGvzPQPbXiKjOlAeb+2gWn1cm8AWP4DsDudSkBSRIGWZehKcA03W+CJztEYWwWjLNxs3wsIiO93mDzSWl2zX4//fk9YgyxIUmf6sUhLmOZHXKnaosAU1lKTd0MUWeLFmeAdbZ3NSWNnP88l1wAzapw9kyflRNKgqPQeWB9hVbtBOZQMSed/++3DDD27gz/vQ4Ydw3Xeuw3377wv9vbmSj9v2mlqcfzXf4wKjdpmX2FJ1Uiox1WBjl7nkYqgjI803epIEdWQEmUsubum42gXmszGrc5fYomqfuLmJxoEwiCZtkfhpAkGytAJ8oai61ASRldhs6kFyoMPzyPHM1+Yvrl/ZpiU28rXhtKYMtUrclxIJQeoCNK3Pev3YOvaeJa/PRkts0Un2AMJZSIWIBymSDvvylS8PfS3pR/HYPjpGJReeAt8UrT6ujQiScu0gKJLeMJlJ27U9+ClhWCcdeBk9B6KKBIR3YEBjqz9bXDrV5g80pkiLXXbsuFSaAeVUqzxJmxGkpgoSJUjisFogMMCX607QwZbubE6K2KZdNp2w/4hC08hNhXSxVVD2aEhkPyEY9+2/Dx/62Ye4h4VhojqBD/3sQw0kabExurE3lM8Uh1yfgdGNvXM+hrX6vzBR4iW2jEk2AJYavLeSomD4lpvpFxGSRL8evuVmSMrSllJT3IPkxI4ZYYiOhBHJQXRmIwOfxaapnCBODF6Al04LJtfvP30LHnr5f8fE4AUdIYjcpE0VJMsj16gkhYkiu04rdqUhSRsIjOjNRo2wESvzoVXivpRICFKHMbdhkrw9S12fHeAmbQu+7/MPfkqT+Y5WVJDkDLlY2LDa6DoX7fBIj/4/3F/9ILkxrH0FUFiJRnsqgwQUVpHHLTHycQqSEVaQAMATYhj8DFlMojtRRpAYopk4PZE0bVZi68SYEYZspMWdEaR8SuWfA43yN6da5QZlm3oaxNEV7KYiltiiJJGd74rldEUHG0Am0XMTqulyBWnTaECQVJY6bvvwrWDMSK7XgOu5uP2R2zkxFsG+d8cjd8BdQo+dLEu46i0b53zMlW/eOO8YkDOpgrRbUJBy1jEAgBXpUCxcey1Wff5zUIfDGx11eBirPv85FK69FksNg3uQbFhUsY2bR9esxAY0T9MWPUiSosB85y3YsendcCLKsWn0Ysemd8N85y1LThDFEpvvSzD9YA6bWNZm12nJKgVJ2iEP0twm7b61+bYQ8k4gIUgdxvyGSWlew2S7wRQky/VQMh1+sYvpysyDVNpzEMXvfx9AUGI78pEP8bbV+/bfh08/+umGv+HJM/jLn/0l7jvwU2DLHfS74QWZ94VsuZ0MxFxisN1hqe40dLEpqgxZocqBYKL30+SmoUaMxazVn0E0aQNBqz8jBt3QxZaLdLGJ/iMGnoVUq/McJAvkJqDFKEiTtUm4Ph3CG1WQmOepLnqQOj+KQEz4Dhm0KcTX6dSCMSPZvhS2TWzDeLV5ediHjyPVI9g2sW0xDr0p1l84hC3v3dxw48r1Gdjy3s0tDZDdEKMgFRyiDLt6Y4p24dprseEn9+G0r3wFK++8E6d95SvY8JP7OkKOgKDNv16d26QdVZBCJbYmWUg1OyBInufjseczZHmLU9Ak4PEXMktuUg42MDJs3+Dt/tFxIKwUXrErQYlN2OA18yCxPLNcWm0LIe8EEpN2h9EOw2S7kdIU5AwVZdPBZNniUmlauOkzBam4cw+8CrlomEkbx0i2h/e5z+L24p2xu2e2TtzxyB24+k1bobz5q6SbTTBsTymDWPGmzwKb3rAYL3NeiIsfDz0TSKJmKDCrDjyBIHlGBijHlNj0uRUkRgQYCel0kjYQdHBVIiW2QkokSAoAH3atHpTYPHI+9BgPEiszSZAafFhMLQt7kDo/iiCrKzgK4FjZxIvHyGddLLGpenA+7GqdjxnJ9RqYqLZmvD3a4uPaifUXDmHd+YNkk1Y0kS2QXXyrNyqmIB2crsGSDOgAFJCbpKsXYn9HUhRkL7+sLcd/omBt/iEPUlyJLd1Cia0eLbEFJu1gE9xcJe+ESVnRSJep5/mw/ExIQRIR6mKLKbHFxYGIX+cMFesv7MWW927GA9/YFRIEcn0GrnzzxpYIeSeQEKQOo12GyXZjIKdTgmTyjA+RHKQy1OAnGG2ZgiTTVNZDf/vfMfFHs0K/fiPY7vnSTW8Azn49sP8hPLh9B/7xsTJ6znol7tp0edtfW6sI5HNHmMUmmK9ThCDZwmVkUy9CVEESS2yqpEKTw8Sn0YPUfUnaxRgFiZQkbNrBRUzaNidIwbEzQsgIUk7LNXSn5QWTNp/D1g0EiZ6Hx/dPw/eBwbwRSrWWDBIW6fgpOHUrlKLtZ1oz3g62+Lh2Q5al474pD+QM9Gd1TFUsTNQVrBZ+5huNClK3gbX511ts8+e/J2yI+BoRVZAExblSLLV0PEttUpYkCVpagVlxYPkZriAZ6fA5CHWxObSLLWZYLct+YogmaZ8oIe8EkhJbhzG/YdLvSH2WldmOla3AcCje9PcT35QlECRm0lZcC/B9yBNTeNmB+WVjvnuWFWDdVXhm4Fo87G1CNtVZ015eUJDiyozMr3DwY5/g36s++wIAwBs7GHquXmGyeUbLNJADZkZmpaVu6GKLDmqNLbFRUuOYdtDF5pL3La6LzfLI64u2+AOBv6tquTyktCtKbPQ8PLqPDIsV/UcAAD0DFTQLqW5xD1K2z8BFQxdhODMMqYl6IEHCSGYEFw1dtEhHv7hggZGHKuHv+6l4BambwNr8zXmCIsVrN62meQI60DizEQD1bQaxKN26CQYAXSHXo+WleR6SfviBUDjv/KNGGhUkMRpG3OQxQn7mpSNYdVZfV5MjICFIHcfchkmi3HSiPtufDYzanBwIi4daITcLW8vChwQfEjdpy16wWPSV5/9b0d0z65rqpEEZCBa/Y2ULDvUHiAqSUicvzioF85VYknbtJz8OjQ8QS2zR8hogmLRrZGxBN5TYWC4RG7MSpyCpafI5sT0VqB6j/0/nOYkepIjnKo4gie/3oRlyTjvd5g8En/vtL80ACPuPAAB6VshCsnmJLd+XgiIr+OhlHwWABpLEvr7psptCeUjLCazV/0BEJJHTvUt/MAtE4EGy+fiLOIKkyRpXgNNqOL8s6HQN1BPT8cDsRGldaVvXYNux827oVTI82PYzMGkXm+FOkskGlCQxBWnWnIXjMatBjIIkeJBqtsvPQafmabYDCUHqAjQ1TMqT2HLFsx2pz64QspCqEYMyAGRXEiMqJBmOmoYnBz9TXGEg5Yr+prtn3wf69MGG3XPcFOhOgMnnR4oBAWJt377rwju4FwDgKoHkzsqMimeFxgeIJbao9wYIl9jqtgeXri6dJInRoEiuIAmkRUuR1+v4KaBIRsVYjkZ/1qggMUTnsAGAoSrQqPH94DQ55z0dbvMHgs8hM95uihIkLQtVJv6rSjno4mPX8zVrr8FnX/1ZDGXC1/FwZhifffVncc3aaxbz8BcVLFF732x41MZyIEgs68dzfFRLZM3SYwgSAPQbtMzmA48eeZR3HcZ1sYlEIaMpbesabCs8F9h6E3Q6N8/y07CYB0mmciCdYMA2M6y5AgivYYwgiUOtxXBZMSpjuWH5UruTDA312ae/iNH9n4e87m86cjw8LLJi8dKaOPIhf/klUP/tHjhKCpaWg+YEGrvs2ST8bXgYv//7N+OhBz4MCVKsWfuS/B817J55RH2nCRJVb8Zmyc3PUGWoCtlTVB97HHK1CGQBVwmILVfRXJOPD8heflmoiy1KFgDBpF21eYu/LAUttJ1ANhIUGd/FxgbW6kCJGOzZwMs4DxJ/7phzAJD3fLoalDT7sl2gIOnhz+E5KyP+Gj2YxzZTJJ8FQ3dDasQ1a6/B1WuuxraJbThaPYrBDNkYLFfliGEDLbHtnglf22q2uxKR46AZCjcpl6fINa7FbEju238fDpZJyXzKnMIf3/PHGM4M46OXfRSF1LkAwh4kNtVeV4L1gm2Cu8akvP8hoHgYukwJkheYtA2pCggTDLKRiJWUkoIqbIjZRkokhqJBu9vLaHMhIUhdhJBhct9+QPKAmFLEUmCAltiOlU3eSSQqSJKiIF0wUKoAtp6HQr0lsmfzDrXhW27GxjOuxWeVz+L2R24PtTvn1RWY2LcFk95ZDX+73CUEibXYH6EESVS0nKNHuVLmqgFBcrkPy+aPA8Jt/nEKEvcg1WzeEZMz1K4ZswEIXWwxbf62bwBV0uJt23TgpZiDFCFIcSU2gJxjZtAGuqSLTXjfs7qCtf2R90/Pcg/SdJncZHK5xlwjRVZw6cili3egHQBTkPaXfEB4q/Rsb2cOaAGQJAlGVkWtZKPECFJEQWIhn9HNHQv5/MCmTwLQQl1stTjPJrrMpEwnE+gS9Q0KJm2uINHHKbKCjJqJHbQNxCtIgUF7eW8AEoLUrbDoh1SP32kvNoJxIxZW9YXHbDBkhnpQ2luEN7gK7iFiQpBdG+rwMIZvuZnnm8Ttng1nPd7w9K+wzZ6G5/mhRaIcSa3uFBgREEPfGNTBQaguWVSdOAWJEkY2PiBUYovxIDEFyfV8jBfJ83bSfwQ0T9IOdbFxBSkoM1oOIU2igqTJGnRZ5ybtuBIb0EiKxb/VKWSEyIZVfelGHVTLQqMlttkqeV3ZzuxrlhwDWR19GQ3VWpjI6rnuV5AA4kOqlWySgo4wQZov5FOChK+/+A8AbgwrSDHrBcOJdA22FXQygSaU2MIKUvhxOS0XO6gWCF4nswYostQ1NokTxfI++pMZnSZIoknbjL/gWRZS71//V+TLB4C7a9B7stjwk/saUmGju2fH9ZDRFZTqDl6YKOHskcDX0W0lNgbxeDKXXAwtRUzY8R4kOzQ+YD6ClNIU6KoMy/FwYIosRJ0MiQSC12s6HhzXwyw1osaX2AKSyAZeRjNlsloWlkkIUrbJ51o8x2lNQarD/oWtO8bwlV/t51+/MF7GlXfcj1uv34Qtm0fJN/UsVImoZ9O1XgBArnBq2DslScLG4Tz27Q37J41cf5Pf6C4YkSYAkSC1EvI5WZ+AktmLYn0DfN+HJEmhDKSuBZ1goFN/peVFFSSJTDig5bWcnsNEjUR0RAmSSIJqtoucoXbNGn6iODWu4uUIOo6hYyU27kESTNqRDztL065XHWhnbQIAqNlUS5H5qiLjwtN6AQCP7ZsO/axc746LqxAJTBMJoqQo6LmSZDTFeZAUzwrNl8qoGW5WL1vl2NESLE37wHR3ECSxY69iufFdbLzEFigINpsIHjl+kRg2VZCE3+l0i//WHWN4/9e28Y5ChiOzdbz/a9uwdQcxpRMPElGQ6g4tsfV2XvlaKmwcyqGOsIKkZHo7czALBMtCYhAJUqvhnZJagu36PC+uNoeC1DWQFWDLHdBlVmIL2vwNWnYTJxiIg6WjFgFDlbmtgsUblGOCdZcjEoLUreAKUqPasBRgBGmqYnHTcKOCRB5TL9twqDFR01v/SF28luwyH6P5MgzlLqlfR0tcUbk4dw7xT3mC34IpSMMf+FNeYrxv/3143Xdfx6X6nx/8eewkd0YIWAdXpwmi2FVWtZz4EpsRU2KzyOuMU5AY5vIgMXQyJNL1fHzi+ztjiivg3/vE93eSbkM9B1WyQo/J9XbeO7VUOHM4jxoibexCdlA3w8g2V5BaDe+UXKJ+s042vqHUupwcbHoD9It+D0C4zV/Pp4E3fzU0wSCUnB1RkCRJ4kSIVRuiw72XKxKC1K2gke6dKrH105uT5wOHZ8kNO6PHK0i1clDDVxZQErn0dFKLf2x/REHik+w7bNI21NDopChBZApJ6spX8flS0hApuxR+4+UAApNnVKqPm+TOiAcjSJ32IAHBAjdbs/n7IoZXRktsrq+CiWPRkQUhgqTFE6S8sKB2MgPpkb1TvHsxDj5Id+Mje6cALVCQGHJ96fhfPAmxcSgHGwocn6qJUPlstm5HKvIZE1XPVkM+sz5p4WcKKw+JXAYGZf308wEA1spXwlJJfpfxR99qGO8kbmjiOlCj89iCElv3n4O5kBCkbkWHS2yqIvMb1IEpcsOOmrSZB6letuFYC1eQLjytD7JECAEzJvu+3xBR3ynIshRScaJyMdtt2qaL7OWXoee3Xw9XIo9RdXnBk9xZ5k+3eJCA4DWLZKFpFxvAZXqgsSNILLE1I0g5oztKbBOl5uSo4XF6BmqEIGUHOqP8dgIbh/MAJK4iVaRs41DWLoUxR4mt1ZDPHhqWyhQkcVBtt4MRQhN5WBZtrsg2hlqK12scQcpyghQpsSUKUoK2w/c7btIGgH46boSVVqKmwzgFKTqDbC7kDJWbs5kPyXQ8nlrdDReXaNSO7ghFgsQQEEVlwZPcGSGYKJGW8e5QkMhrHJuhUQe6Ak0Jlg0toiBZHlEOVJoxE3oudfmU2MRZa/M+Ts/xHCSG3EC8x+pkxIqcjt6Mxn1IFblza9ZCIZq0ZVmCrIY/s62EfAZDrQkp4Cbtbi+xISBIZSGbyUg3Hvf8ClI4M+1kMWkv76M/AZimicsvvxxPPvkktm/fjgsuuKDThxTAtQAa6d5JgjSQM7DnaJCJESUsgQfJ4sRA1RbGuS85vQ87x4p4bP8UXn/eaCiBtRsMfqKK06AgUY+NRccU+L4fIopHiwub5N4baWnvBgWJlVUPz7Bk6/AxRktslk8IUlwisbiw5vV4AiG+5uj5WEpctq4foz0pHJmtx/qQJAAjPSlctq4fODoOVSBIulSBnj91CJIkSThzKI/aYR2QgLq8fDIORJO2llJic8fmC/lkn9kGD9IyUJA0Opi2MkM8dIomQ4lZwxMF6RTDX//1X2PlypWdPox4WAEpQZPE4aUAGzfCkNbmUJDshStIAHDxWuJDepz6kNjOI6MrULoggVUsJ0U9WFEFybWDcQuqLrds8mSPi5KPbiBIbAfIfGiFBoIULrGxMRtR/xEwt9GTfz/kQeqcgqTIEm69nnRmRj+F7Otbr99EPqPCLDYAyCmTQEyUw8mMjUNpMPu6DAAxXZrdCNGkHTeHjYHFlPzWGb+FS0cuDSWgBwNrydpVEwbVdjuYguRT1T7uugXmJ0hRD1JCkJYxfvSjH+Hee+/FnXfe2elDiQfzH6kpQOncB2wgUotuVJDIwmDXXVhUXlYW4EECgEtOJ51szxwuomo5XXdhiSW2aFcdW1wYQWLqEUCI4kInuUc9N91AkKIltiiJC7rYqIIk94a+LyKlBmWr3dO7Y6MOusWDBABbNo/iC2+7CCM94XLbSE8KX3jbRZEcpMCDlFOmOnrdLjl23o2bn38zTpPJsOJ19gvwP7c5NBG+WyGatOciSHOBz2OjVoTKcshBoohGccSV14BwiS0ux42p65WTzKR9Cl3FBOPj43jPe96D733ve8hkWtvlmaYJ0wx2iMVicbEOj6AL/EdA0OrPEDVpG2kVkizB9/wgqn+BwX6retNY2ZPC4dk6nnhphqtG+a4hSI0zhxi4glR34Ps+bLo4KKpM/TfE5Pmhn32oYRZd3CT3nohikjO6wIOkhxWk+UpstkQ8ZXq6cWTD15/7Ov/6L376F3yelTisVRxsOV6s82TeTmHL5lG8dtMIHtk7hYlSHUN5UlYLHVNEQcpqi7w+dBN23g3/m+9AJlKI9IuHgW++A1KkXbzbIJq0j5sgcQWJmrSXUYktep22pCCpjfcl9lqZepa0+S9D+L6Pd73rXXjf+96HSy65pOXfu+2229DT08P/rVmzZhGPEl1EkMIKUnRHJMkSV5HYsMeFKkgAcDFVkR7bP83n+XTLhSWWlKIKEvMg+T4pr3EflnAOFjLJvRtLbOx9aKYgsdfqQofny7AoQdKE949FHZTtcuh3o1EHW3eM4a+/8xT/+Z33voAr77g/CGTsEBRZwhXrB/DGC1bhivUDjYRNTUFBkIPkSTo8L865dJLBc1H7/kfg+37DjUQGWW9r3/9IV5fbUmKJLXW8ClLUpM1msXX++p0Pmq6EashGOv4ciOGQh8qHGtRf1sDCiFG3VQKOFycFQfr4xz8OSZLm/PfYY4/hH/7hH1AsFnHzzTcv6PlvvvlmzM7O8n8HDhxYpFdCwUpsHfQfAWTOkoioggIEPqTSNNlBL6TNn+GStUEeUlmYAt0NKMxl0hYIo1V3m3byXbP2Gtzzpnvw5eu+jDuuugNfvu7L2PqmrSFyBHSpSZsufJZLXltDiU14rY6vw5LITpPtTFuNOvjPpw/i/V/bhslKOHCxIbW6C7HniaO4d/bD/OvnSy/HV295CHu2T3TwqBYf7r5fIl07gmYCnywB6doRuPt+ubQHtgDoaZUTBO0415xCM5N2h8fktAJJlkINFXpMY8R9++/D3/zyb/jXf7/97xuCbtm9gUUcsI1ut6zjx4uTgiD9+Z//OZ599tk5/23evBn3338/Hn74YRiGAVVVsWHDBgDAJZdcgne+851Nn98wDBQKhdC/RYXV2ZBIBpEgpTQ5ttTBdmDlaaogHceiwIza2/dP8zp+t+w8QiZto1FBUwWjth2jIDHMZfJkaPAgdUGJLRchhVGCJHa8OL4BC5Qg0fev1aiDW+/9QWup1V2GPdsnsPWuHah54TWhMmNi6107TmqStOfFPW19XKfANnW26R6X8hcoSMuvxAaEy2pRBYmpv1P18LSDqPrLXivzHlVOklEjy/voKVasWIEVK1bM+7i///u/x//4H/+Df3348GFcd911+MY3voHLL798MQ9xYejCElucegQA6TxZHDyHjpc4DgXp7JE8srqCkulg20ukm61bzH1iWe3FoxVcvi5cYtEMBY7pwjYdocR2fMfemw4rdt2hIIWPIdrFJkkSVF2GY3mw/RRsm4bNpch/W51nNW1OAogvXYup1VesH1jYC1hEeJ6PB76xi34VL6M8+M1dWHf+YEMm1MmACb8XZ7bxcUuNPdsn8MA3dsE2iTp66PlpfPWWh3DVWzZi/YVD8/x2gGgX27IYVitAS6kASAVAFzZp86m/EiTc8cgduHrN1YIHKVxiSxSkZYTTTjsNmzdv5v/OPJNctuvXr8fq1as7fHQCOpyizSC2+TfbDaUiRu7jUZDI4FqiIv3iBdIJk+sCcrB1xxju2Po8//pj39vR4InRuVE7KLEdD0kECCESY1i64RxEiWpUQQIATSGLoeMbsGqkRKY9/k/Azrtbjjrwnflzg1pNt14qjO2aQWXGnPMx5WkTY7tmluaAlhjK6b+Bw34/mokung8c9gegnP4bS3tgLYApf9H373iUP7ZpKNWiSdqdv35bgS54r0QFaSFBt2JQpON6fHBvp+dpnihOKYK0bNAlClIhpUGlO99mBIl5kBjiykutgJXZjpXJgtXpEhub5D5TtUPfj3pieFik6Z6wgiTLEt+NpjQ5lFjdKUTfhwaCtPNuqCYhtY5vwGZBkdYE8M134KLJQ/NGHfTpQ3Cr6+Y9llbTrZcKleLc5Gihj1tuuGz9IP5eezcANJAk9vXfa3+Cy9a3RpKXCmHlLx4PfnNXy+U23ubPPUjLJwcJCJfYRA9Sq+rv0epR3uFcsRze6g90xybvRND5FbiDOP300+H7fnelaANdQ5BkWeK+GNP28Ks9kw0+kFSuuWl3IbiUdrIxRL0vS4mFTHLXYhSk4yVIQOBD6oYxI0CjhyBUYvNcYOtNPEXa9g1YHul20STio1PuuQUfvfSvATSfZ/WxKz6K0Z5MEwpFilejLLW6i5AtNM6sOpHHLTcosoRX/84f4wP2jTiC8HtzBAP4gH0jXv07f9wVga8i2q38iaNGfN9fdiW2ZgrSQoJuxRIb8x9pigRDXR7noBlOaYLUteAlts4SpK07xriCsn+qij/4l4cbSkxRBel42vwB4ILTekM3yGNls2Om3IVMcmedL7bpzGnSbhWsI0YCYgnpUmNOBWn/Q0DxMJ9kH1KQ5BoAHygewjV+es6og2tPf23rqdVdhNGNvcj2zk1+cn0GRjf2Ls0BdQBbNo/id/7wfbjBuAtvtT6Gv7D+HG+1PoYbjC/id/7wfUGYZheh3cof2zRYrgfT8ZadSVtLiQpS8P8LCbrNCEGR3TJsvB1Y/q/gZARXkDrnQWIlpujtmZWYWJJwuxSkB3cdhSJLfFDtV361H/fuHMet129a8kV2IZPcDaGL7URLbFt3jOH58TJ9bhN/8C8PY7Qn1ZFzwBBd5EMEqUz8CapEfEcOjGAWm1QLPe6ac39/znlWLLX6E9/fGSKnIx1+/XNBliVc9ZaN2HrXDhDa3HgjufLNG09Kg7aIIEzz4uZhml2Edit/WV2BLJGy4rGyydewzDIYVgtEFKRMcMyK3HrQrRgUWT5JOtiAhCB1JzpcYpuvxCSBlJheu2kE6QaT9sLVk1bJ2FJhIZPcaymRIFGT9klwDhiiXSghgpQbBoCgxOYFBImV2MTHsaiDZmgptbrLsP7CIWx572Y88JVHUamn+fdzfQaufPPCuqGWM1iY5nIAU/7mKrMtRPmTJAmFtIaZqo3xYkDul0+JLV5BAoKg29sfuT1k2B7ODOOmy27iWW5hBam7suxOBMv/FZyM4CW2zgy8XEiJaXNfmMQtVEFaCBlbqhvlQia5P/TYJAASFOk5x+dB6sZzwCDK5GlNga4K5G/tK4DCSmg0JNRB4EEiJTYJKKwkj2sRy+lGy7D+wiGsG38IYz//KSpeH7KXvgGjv/enJ71ytFwRVv7isVDlr5AiBOnILLkWVFkKXytdDHHEytRYBf0rc6HXfs3aa+ZUfwGEPEhBivbyIIhzYXm8g6cabBYU2ZkS20JKTNES20IVpIWQsaXCQia5azEK0kI9SN14DhjERa6hg01WgC13CCbtFGyfqG86G9665XbyuJMcspHDKuMZnJl+EKtW+wk56nIw5S/qIcv1Gdjy3s0LVv5YJ9sRqiAtF/Voz/YJbLtnP//6x/9zZ2wK/HxBt3zUSBcOHD8RLP9XcDKiwyW2hZSYNF3hQYHAwhWkhZCxpUSrnhhxYC2TgBaqIHXrOQCIaiRJZN5cXAYSNr0B6gYD2AGYXhYeyGO0Qg/w+r/r6kGlbYWo9mrp5o9L0DVYf+EQ1p0/SLraiiayBVJWOx5yyzrZWIltORi0WRZUFCwLaiFEkZXYfB+YpFEtSYktweKgwwRpISUmAEjndJSOc1jtQsjYUqMVTwyr39umC6YvLZQgdfM5kCQJWV1F2XTiCRIAdeQMYMcBVM+4AXiaJqr/5SOAegotL+K12uHu0wStQ5YlrDqr74SfhxGkI7OMIHX3Z7/VLKhWU+DTQkDw0VJ3ZNm1A0mJrRvR4STthZSYgHAWkrrAujsjY92agTPfJPdQDpJ9fG3+3XwOXM+HppAjczwvNnaAqYZVjxyfaiiQTyVyBIQHS2ud8Q4m6ByiJbZuV5DanQWlyBJS1F4xUTp5FKSEIHUjuiAokpWYRnrCqsVIT6qho4plISmaDGmB8vRCyVi3IexBIgRJW6A5sVvPwdYdY7jyjvsxTbOwtr0005CDBQSEsEpzY8S24VMG4rWalNhOOSy3EttipMCztv5AQeruc9AKlj/FOxnRBQQJaL3t2sjRcEOZDHxcaB1/OWbgMDAyZNVdThSOJwep287BQmIH2OutFkkekr7MxwscF1TB7Du5G1j3ylPCnJ6AgIVFshJbustLbIuRAp/WFaASeCVPhhLb8n8FJxs8t+NdbCLma7ves30C+54kre6O6eF7f7cd2V5jwROxl2MGDiB6kBz4PrkhHm+Sdrecg4XGDrASW61ElKZTTkHaeTfwg78Mvv7PDwMPfhbYcsepY1I/xcES8E0a9ZE5jqHdS4l2Z0EBjQpSUmJL0H7YQsBel5s9WReEbbqh7x/PRGxgfr9PN0KLSdI+3jRxoDvOwUJjB1SDLCM+9SdppxJB2nk38M13ANVj4e8Xx8j3d97dmeNKsKQoRBoYur3ExrKg5sJCs6BYtEGxfvIkaScEqdvAymuQALW7ppeLaPdE7OWK+GG1y/uyWmjsgBrZLZ8yJTY6rBdzjTXe+lHyuAQnNQqR4dLLIQep3VlQUc9RUmJL0H6Ic9ik7lVQFtIF0Y422m4FU0sc2wMksnOKEoblhoXGDkQVs1NGQaLDepuDDOvF/oeAdVct2WElWHosNwWJoZ1ZUOnI7LmTocS2/F/ByYYuMWjPh8XogliOEDvWAgVpeSyOzbDQHCzVOEUVpPL4/I9ZyOMSLFsUIjPMut2kLaJdWVCNCtLyXgeBpMTWfVgmBGkxuiCWIxRVbthtLfcS20JjB6Kv95QxadMhvG17XIJli2iJbbkoSO1E9DXnT4KN0vJeyU9GLBOCxLog5sJCuyCWIyRJaigpnYhJu1uwkBysxhLb8l8YWwId1ttIIxkkoLBqQcN6EyxPLNcSWzsRTQ9PPEgJ2o8Op2i3isWYiL1coRkKzCrxH0kSIKsnx2tuNXYgWlI8ZRQkOqwX33wHCEkSC5L0HJ0iw3pPdWR1BbIEsJ6U9DL3IR4PoqTwZCBIiYLUbVgmChLQ/i6I5QrRh6TqCqQuNtcvFK3EDjSW2Jb/wtgyNr0BePNXgUIkyLOwknw/yUE6JSBJUkhF6vZZbIuBBgXpJDgHy/8VnGxYRgQJaG8XxHKFWFJa7v6j48Ep28XGsOkNwNmvJ91q5XHiOVr7ikQ5OsVQSGmYoWN5Ts0SW/Ca05qyLHLs5kNCkLoNy6TEJqJdXRDLFVEF6VSDrEqQZIkHRZ5SChKDrCSt/Kc4xE625ZCD1G6IBOlkKK8BSYmt+8AVpGQi+HKB6Lk5FQmSJEkh5eyUU5ASJEC4k+3UVJACUpQ7CVr8gYQgdR/4HLblUWJLEFaQtFOwxAaEieEpqSAlOOVxyhMkI1GQEiw2eIktIUjLBWEP0qm3MAJhYnjKdLElSCAgXGI7OQjCQiAO6E0IUoLFgThqJMGyQNiDdGpeUomClOBUR0hBOgXb/EVSdDKMGQESgtR9WGZdbAkSDxIQft3aSeI/SJBgIcgJG4OnDs3APckHdUeRTkzaCRYdCUFadgh7kE5NcqAZMv2vAukkaO9NkGAh2LpjDF9+cC//+p1ffhRX3nE/tu4Y6+BRLS2yiUk7waJjGbb5n+pISmyBgpR0sCU41bB1xxje/7VtKNad0PePzNbx/q9tO2VIUkhBOkk8WKfmat7NSBSkZQctKbFBUelS4gOHnp+Gd4qVFxKcmnA9H5/4/k7EfdrZ9z7x/Z2nRLnNUAM6MV21TorXnBCkbgMjSFqSg7RcoBmndpL2nu0TeOmZSQBAtWjhe3+3HV+95SHs2T7R4SNLkGBx8cjeKYzN1pv+3AcwNlvHI3unlu6gOoCtO8Zw9Z0/419/Z9uhk6LEeOqt5t2OpMS27KCfwknae7ZPYOtdO+BYXuj7lRkTW+/akZCkBCc1JkrNydHxPG45gpUYo0TxZCgxJgSp25CU2JYdxBLbqWTS9jwfD3xj15yPefCbu5JyW4KTFkP5VFsft9xwspcYE4LUTXAswKNGv4QgLRucqibtsV0zqMyYcz6mPG1ibNfM0hxQggRLjMvW9WO0J4VmfZsSgNGeFC5b17+Uh7VkONlLjKfOar4cwMprQEKQlhEUIRSuOFk/ZRSTSnFucrTQxyVIsNygyBJuvX4TADSQJPb1rddvOikm28fhZC8xJgSpm1Avkv9KKvDSw4DndvZ4EsyLPdsn8N1PP8a/3rZ1/yljUM4WjLY+LkGC5Ygtm0fxhbddhJGecBltpCeFL7ztImzZPNqhI1t8nOwlxpMjrOBkwM67gR/+Ffl/3wG+8ttAYSWw5Q5g0xs6e2wJYsEMylEwg/KW927G+guHOnBkS4PRjb3I9hpzltlyfQZGN/Yu3UElSNABbNk8itduGsEje6cwUapjKE/KaiercsTASoxHZuuxPiQJhCgu1xJjoiB1A3beDXzzHUAlojoUx8j3d97dmeNK0BSJQRmQZQlXvWXjnI+58s0bIZ/kN4kECQBSbrti/QDeeMEqXLF+4KQnR8DJX2JMCFKn4bnA1puAufoAtn40Kbd1GRKDMsH6C4ew5b2bke0Nl9FyfcZJr6AlSJDg5C4xJiW2TmP/Q0Dx8BwP8IHiIfK4dVct2WElmBuJQTnA+guHsO78QUIaiyayBVJWS5SjBAlODZysJcaEIHUa5fH2Pi7BkiAxKIchyxJWndXX6cNIkCBBh8BKjCcTkhJbp5Ebbu/jEiwJmEF5LiQG5QQJEiRYvkgIUqex9hWkW22uqLHCKvK4BF2DxKCcIEGCBCc3EoLUacgKaeUH0LQPYMvt5HEJugqJQTlBggQJTl5Ivu+fvH3Ii4RisYienh7Mzs6iUCi050l33k262UTDdmEVIUdJDlJXw/P8xKCcIEGCBMsAC7l/n5Im7R/+8If45Cc/iaeeegrZbBavfOUr8d3vfrezB7XpDcDZryfdauVx4jla+4pEOVoGSAzKCRIkSHDy4ZQjSN/5znfwnve8B5/61Kfwmte8Br7v4+mnn+70YRHIStLKnyBBggQJEnQBTimC5DgOPvjBD+Izn/kM/uRP/oR//6yzzprz90zThGkGeTbFYnHRjjFBggQJEiRI0HmcUibtbdu24dChQ5BlGRdeeCFGR0fxute9Ds8888ycv3fbbbehp6eH/1uzZs0SHXGCBAkSJEiQoBM4pQjSiy++CAD4+Mc/jo997GP4wQ9+gL6+PrzqVa/C1NRU09+7+eabMTs7y/8dOHBgqQ45QYIECRIkSNABnBQE6eMf/zgkSZrz32OPPQbP8wAAf/M3f4M3velNuPjii/Fv//ZvkCQJ3/rWt5o+v2EYKBQKoX8JEiRIkCBBgpMXJ4UH6c///M/x1re+dc7HnH766SiVSgCATZs28e8bhoEzzjgDL7300qIeY4IECRIkSJBg+eCkIEgrVqzAihUr5n3cxRdfDMMw8Pzzz+PKK68EANi2jX379mHt2rWLfZgJEiRIkCBBgmWCk4IgtYpCoYD3ve99uPXWW7FmzRqsXbsWn/nMZwAAN9xwQ4ePLkGCBAkSJEjQLTilCBIAfOYzn4Gqqnj729+OWq2Gyy+/HPfffz/6+pKgvwQJEiRIkCABQTJq5DiwKKNGEiRIkCBBggSLimTUyCKDccokMDJBggQJEiRYPmD37Va0oYQgHQdYN1wSGJkgQYIECRIsP5RKJfT09Mz5mKTEdhzwPA+HDx9GPp+HJLV3anuxWMSaNWtw4MCBpHy3BEjO99IiOd9Li+R8Ly2S8720OJ7z7fs+SqUSVq5cCVmeOwoyUZCOA7IsY/Xq1Yv6N5JAyqVFcr6XFsn5Xlok53tpkZzvpcVCz/d8yhHDSZGknSBBggQJEiRI0E4kBClBggQJEiRIkCCChCB1GQzDwK233grDMDp9KKcEkvO9tEjO99IiOd9Li+R8Ly0W+3wnJu0ECRIkSJAgQYIIEgUpQYIECRIkSJAggoQgJUiQIEGCBAkSRJAQpAQJEiRIkCBBgggSgpQgQYIECRIkSBBBQpC6CP/8z/+MdevWIZVK4eKLL8YDDzzQ6UM6KfCLX/wC119/PVauXAlJkvC9730v9HPf9/Hxj38cK1euRDqdxqtf/Wo888wznTnYkwC33XYbLr30UuTzeQwNDeF3fud38Pzzz4cek5zz9uELX/gCzjvvPB6Wd8UVV+BHP/oR/3lyrhcXt912GyRJwo033si/l5zz9uHjH/84JEkK/RsZGeE/X8xznRCkLsE3vvEN3Hjjjfibv/kbbN++HVdddRVe97rX4aWXXur0oS17VCoVnH/++fjHf/zH2J9/+tOfxmc/+1n84z/+Ix599FGMjIzgta99LZ+5l2Bh+PnPf44/+7M/w8MPP4wf//jHcBwH1157LSqVCn9Mcs7bh9WrV+P222/HY489hsceewyvec1r8MY3vpHfJJJzvXh49NFH8aUvfQnnnXde6PvJOW8vzjnnHIyNjfF/Tz/9NP/Zop5rP0FX4LLLLvPf9773hb539tln+x/96Ec7dEQnJwD4//f//l/+ted5/sjIiH/77bfz79Xrdb+np8f/4he/2IEjPPkwMTHhA/B//vOf+76fnPOlQF9fn/+v//qvybleRJRKJX/jxo3+j3/8Y///b+/eg6Ks+jiAf3eBXRDjpoggqCCRFxRREfDCUipZrWmIF7yEUTOmiZpkjY6JM69jNnlJZ8oxc1DSxFApHf8Iios44gwZKCkaKaCRpIK6ogKKv/ePd/YZ94IJwYvi9zOzo55znsN5frPjfud5zrPodDpZtGiRiPD93dqSkpIkKCjIal9b15pXkJ4ADQ0NOHHiBKKiokzao6KicOzYsXZa1bOhrKwMVVVVJrXXarXQ6XSsfSu5efMmAMDNzQ0Aa96WGhsbkZqaitu3byM8PJy1bkPvvfceXnvtNYwdO9aknTVvfaWlpfDy8oKvry+mT5+OCxcuAGj7WvOX1T4Brl27hsbGRnh4eJi0e3h4oKqqqp1W9Www1tda7SsqKtpjSR2KiGDJkiUYNWoUAgMDAbDmbaG4uBjh4eGoq6tD586dkZ6ejv79+ysfEqx160pNTcWvv/6KgoICiz6+v1tXaGgoUlJSEBAQgL///hurV6/GiBEjcPr06TavNQPSE0SlUpn8W0Qs2qhtsPZtY8GCBTh16hSOHj1q0ceat54XXngBRUVFuHHjBvbv34+4uDjk5uYq/ax167l06RIWLVqEjIwM2NvbNzmONW8dr7zyivL3gQMHIjw8HH369MHOnTsRFhYGoO1qzVtsT4CuXbvCxsbG4mrRlStXLJIxtS7j0xCsfetLSEjAwYMHkZ2dDW9vb6WdNW99Go0G/v7+GDZsGD755BMEBQVh06ZNrHUbOHHiBK5cuYKhQ4fC1tYWtra2yM3NxebNm2Fra6vUlTVvG46Ojhg4cCBKS0vb/P3NgPQE0Gg0GDp0KDIzM03aMzMzMWLEiHZa1bPB19cX3bt3N6l9Q0MDcnNzWfsWEhEsWLAABw4cQFZWFnx9fU36WfO2JyKor69nrdvAmDFjUFxcjKKiIuU1bNgwzJw5E0VFRfDz82PN21B9fT1KSkrg6enZ9u/vf73Nm1pFamqq2NnZyfbt2+XMmTOyePFicXR0lPLy8vZe2lPv1q1bUlhYKIWFhQJANmzYIIWFhVJRUSEiImvXrhVnZ2c5cOCAFBcXS2xsrHh6eorBYGjnlT+d5s2bJ87OzpKTkyOXL19WXnfu3FHGsOatZ9myZXLkyBEpKyuTU6dOyfLly0WtVktGRoaIsNb/Dw8/xSbCmremxMREycnJkQsXLsjx48dFr9fLc889p3w2tmWtGZCeIF988YX06tVLNBqNDBkyRHksmv6d7OxsAWDxiouLE5H/PSqalJQk3bt3F61WKxEREVJcXNy+i36KWas1AElOTlbGsOatJz4+Xvl/w93dXcaMGaOEIxHW+v/BPCCx5q1n2rRp4unpKXZ2duLl5SXR0dFy+vRppb8ta60SEfn316GIiIiIOg7uQSIiIiIyw4BEREREZIYBiYiIiMgMAxIRERGRGQYkIiIiIjMMSERERERmGJCIiIiIzDAgEREREZlhQCIiIiIyw4BEREREZIYBiYieCiqVCr17927vZRDRM4IBiYjaXHl5OVQqFSIjI9t7KUREj8W2vRdARPQ4SkpKYGdn197LIKJnBAMSET0V+vbt295LIKJnCG+xEXVwD9/eun37NpYsWQIfHx84ODhgyJAhOHTokDI2LS0Nw4cPh6OjIzw8PLBw4ULcvXvXYs7Dhw8jPj4e/fr1g5OTExwdHREUFIQ1a9agvr7eZOyqVavg6+sLAMjNzYVKpVJec+bMsVijwWBAYmIifH19YWdnh8WLFwOwvgdp2rRpUKlU+OijjyzWePbsWXTq1AlOTk64cOFCs+pkMBiwaNEi+Pj4wN7eHv369cPGjRvx4MEDq8fm5+dj4sSJcHd3h1arRe/evTF//nz89ddfJuPq6upgb2+v1ONher0eKpUKL774okVfYGAgbG1tYTAYLNY8d+5c9O7dG1qtFu7u7oiJicGpU6f+8fys1fhRzp49C5VKhfHjx6O2thZJSUno27cvHBwc4O/vj/Xr1//jHERPFSGiDq2srEwASHh4uISGhkrXrl1Fr9dLZGSkqNVqsbGxkczMTNmwYYPY2tpKeHi4TJo0Sbp06SIAZMaMGRZzenh4SOfOnSU0NFSmTJkiL7/8sri6ugoAeemll+T+/fvK2PT0dJk8ebIAEA8PD4mLi1Ne27ZtM1nj8OHDZfDgweLq6iqTJk2S6OhoWbVqlYiIAJBevXqZrKOmpka8vb1FrVZLdna20t7Q0CDBwcECQJKTk5tVp7CwMBk6dKi4uLhIdHS06PV6cXBwEAAyZ84ci+O++eYbsbGxEZVKJSNHjpTp06dLQECAcr4lJSUm4yMiIgSAlJWVKW33798XZ2dnASBarVbu3r2r9F29elVUKpUMHTrUZJ68vDxxcnISADJgwACJiYmR8PBwUalU4uDgIFlZWVbP71E1fpTU1FQBIFOnThU/Pz/x8fGRqVOnyrhx40StVgsASUlJeZxSEz0VGJCIOjjjByMAiYyMlJqaGqUvOTlZAIi/v7+4ubnJkSNHlL7Kykrp1q2bAJDz58+bzJmeni61tbUmbQaDQfR6vQCQnTt3Wl2DTqf7xzWGh4fL9evXLcZYC0giIllZWaJWq8XHx0c57sMPPxQAEhMT84jKNL2GQYMGydWrV5W+P/74Q7y8vASA/PDDD0r7xYsXxcHBQWxtbeXQoUNKe2NjoyxevFgASEhIiMnPWblypUVwKygoUIIOAJOwl5aWJgAkMTFRabt586Z0795d7OzsJC0tzWT+zMxM0Wg00qNHD6mvr7d6fk3V+FGWLVumHP/xxx/LvXv3lL7t27cLAJk4cWKz5iR6kjEgEXVwxg9GGxsbKS0tNelrbGwUd3d3ASArV660OPb9999v1lWY0tJSASDR0dFW1/A4AamgoMDqmKYCkojI0qVLBYDExsZKdna2qNVq8fLykurq6sdat/kaMjIyLPq3bNkiACQqKkppM4ad2bNnW4yvq6tTQlV+fr7S/vPPPwsAiYuLU9rWrVsnAGTv3r0CQJKSkpS+BQsWCACTALZx40YBIMuWLbN6LsZwtn//fqvn11SNH+XVV18VADJt2jSLvosXLyrBi6ij4B4komdE79694e/vb9KmVqvRq1cvAMC4ceMsjunTpw8A4PLlyxZ9paWl2LRpExISEhAfH485c+bgP//5j9LXEp6enhg2bFizj1u9ejWCg4OxZ88eTJw4ESKCnTt3ws3Nrdlzubm5Wa3FjBkzAADHjh2DiAAA8vLyAAAzZ860GK/VajFlyhSTcQAwYsQIaLVa5OTkKG05OTlwcXFBTEwMvL29LfrUajVGjRqltGVmZgIAJk2aZPUcjGMLCgos+lpa45MnTwIAVqxYYdFXVVWlzE3UUfApNqJnRI8ePay2Ozo6Ntlv7Ht447WI4IMPPsDGjRuVoGDu1q1bLVpjz549W3ScRqPBjh07EBQUBIPBgISEBIwdO7ZFcxkDozknJye4uLjgxo0bMBgMcHZ2VjZhN/UFlsb2hzdr29vbY/jw4cjLy0N5eTl69uyJo0ePIiIiAmq1GjqdDvv27UNdXR1qa2tx+vRpBAcHw8XFRZmjvLwcABAaGvrIc7l27ZpFW0tqXF1djcrKSvj5+SEwMNCi37gpfODAgc2em+hJxYBE9IxQqVT/qt9o79692LBhA7y9vfH5558jPDwc7u7usLOzQ0NDA7RabZPB6Z/Y29u36DjjuowKCwvx4MEDqNWte5G8qfNqbm11Oh3y8vKQk5ODQYMG4caNG8qXaEZGRmL37t04fvw4ampqICIWX7DZ2NgIAJgyZQo6derU5M+1FqBaUmPj1aOQkBCr/UVFRQCAwYMHN3tuoicVAxIRNUt6ejoAYMuWLdDr9SZ9j/M4fVvIy8vD2rVr4eXlhb59+yIrKwtr167F8uXLmz3XxYsXrbYbDAbcvHkTjo6OcHJyAgB4eXnh3LlzKCsrQ0BAgMUxFRUVACxvPUVGRmL16tXIyclBTU2N0vbwnw/36XQ6k+O9vb1x7tw5rFixAoMGDWr2OTaXMSAFBwdb7WdAoo6Ie5CIqFmuX78OAPDx8bHo++6776weo9FoAAD3799v9fUYDAbMnj0bIoLk5GTs2rULXbp0wapVq/DLL780e77q6mr89NNPFu179uwB8L89RMYrQqNHjwYA7N6922J8Q0MD0tLSTMYZjRgxAhqNBjk5OcjJyYGrqyuCgoIAAP7+/so+JOP+o4iICJPjjbcPv//++2afX0s8KiCJCE6ePAkXFxf+rjzqUBiQiKhZjFdKvvrqK5NbTnl5efjss8+sHtO1a1fY2dnh/Pnzyu2h1jJ//nxUVFQgISEBUVFR8PT0xLZt23Dv3j3MnDkTd+7cafacS5cuRXV1tfLvsrIyZQP6/Pnzlfa3334bDg4O2LNnDw4fPqy0P3jwAMuXL0dlZSVCQkIQFhZmMr+DgwNCQkJQUVGBzMxMZf+RkU6nQ35+Pn777TcEBQWZ7D8CgLlz58Ld3R1r1qxBcnKyxa2/27dvIyUlBX/++Wezz90aY0CydoXo/PnzuHXrlhLwiDoKBiQiapaFCxfC0dERX375JQIDAxEbG4uIiAjodDq8++67Vo/RaDQYP348qqqqEBQUhDfffBPvvPMOkpOT/9VaUlNTsXv3bgwYMACffvqp0v7GG2/grbfewu+//44lS5Y0a86wsDCo1Wo8//zziImJweuvv47AwEBUVlZi1qxZJk+O9ezZUwmKEyZMwOjRozFjxgz0798f69evh4eHB1JSUqz+HOOttLq6Oos9RpGRkWhoaICIWNxeAwBXV1ekp6fD0dER8fHx8PX1hV6vx+TJkxESEgIPDw/ExcVZ3aTdXPfv38eZM2fQo0cPdOvWzaKft9eoo2JAIqJmCQgIQEFBASZMmIBr167h4MGDqK2txdatW5u8ggQAX3/9NWbPno3q6mp8++232L59O3Jzc1u8jkuXLmHevHnQaDTYtWuXxebjzZs3w8/PD1u3bsXBgwcfe16tVousrCzExsYiPz8fP/74I3x8fLBu3Trs2LHDYvysWbNw5MgR6PV6lJSUYN++fbh79y7mzZuHEydONPk75B4ORdYCUlN9RiNHjkRxcTESExPh4OCArKwsZGRkwGAwQK/XY+/evejfv/9jn3dTSkpK0NDQ0GQAYkCijkolLX3chIioAykvL4evry90Op3J9xAR0bOJV5CIiIiIzDAgEREREZlhQCIiIiIywz1IRERERGZ4BYmIiIjIDAMSERERkRkGJCIiIiIzDEhEREREZhiQiIiIiMwwIBERERGZYUAiIiIiMsOARERERGSGAYmIiIjIDAMSERERkZn/AhT7YGA4oE9JAAAAAElFTkSuQmCC",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject Text(0.5, 34.0, 'matrix power $n$')"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xnmore = reduce(vcat, [((A/λ[end])^n * float(x))' for n = 1:50])\n",
    "plot(xnmore, \"o-\")\n",
    "ylabel(L\"(A^n x)_k / |\\lambda_5|^n\", size=20)\n",
    "xlabel(L\"matrix power $n$\", size=15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3ea0f39a",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "@webio": {
   "lastCommId": null,
   "lastKernelId": null
  },
  "kernelspec": {
   "display_name": "Julia 1.7.1",
   "language": "julia",
   "name": "julia-1.7"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
